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<ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">β</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">k</ml:id> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:neg/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">k</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="27"/> </region> <region region-id="76" left="6" top="1616.25" width="177" height="12" align-x="6" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Uguagliando a zero il determinante si ha: </text> </region> <region region-id="75" left="6" top="1648.5" width="118.5" height="41.25" align-x="39.75" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="1">k</ml:id> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">k</ml:id> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">β</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </math> <rendering item-idref="28"/> </region> <region region-id="82" left="180" top="1658.25" width="31.5" height="12" align-x="193.5" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> oppure </text> </region> <region region-id="80" left="306" top="1629.75" width="117" height="75" align-x="339.75" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="2">k</ml:id> <ml:id xml:space="preserve" subscript="1">k</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:minus/> <ml:id 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xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="s">A</ml:id> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">l</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="s">A</ml:id> <ml:id xml:space="preserve">E</ml:id> </ml:apply> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">l</ml:id> </ml:apply> </ml:apply> </ml:symResult> </ml:symEval> </math> <rendering item-idref="17"/> </region> <region region-id="52" left="6" top="974.25" width="85.5" height="24" align-x="18.75" align-y="984" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Pongo per semplicità </text> </region> <region region-id="53" left="6" top="1012.5" width="42.75" height="31.5" align-x="17.25" align-y="1032" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">E</ml:id> <ml:id xml:space="preserve" subscript="s">A</ml:id> </ml:apply> <ml:id xml:space="preserve">l</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="18"/> </region> <region region-id="60" left="6" top="1077" width="60" height="16.5" align-x="42" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="La variabile è indefinita." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="11">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">β</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:neg/> <ml:id xml:space="preserve" subscript="1">k</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="19"/> </region> <region region-id="61" left="6" top="1119" width="60.75" height="16.5" align-x="42" align-y="1128" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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<ml:mult/> <ml:id xml:space="preserve" subscript="2">k</ml:id> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:define> </math> <rendering item-idref="21"/> </region> <region region-id="63" left="6" top="1209" width="144.75" height="16.5" align-x="42" align-y="1218" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="La variabile è indefinita." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" subscript="22">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">β</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="2">k</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="22"/> </region> <region region-id="64" left="6" top="1287" width="120" height="36.75" align-x="39.75" align-y="1308" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="La variabile è indefinita." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve" font="17">Δ</ml:id> <ml:boundVars> <ml:id xml:space="preserve">β</ml:id> </ml:boundVars> </ml:function> <ml:matrix rows="2" cols="2"> <ml:apply> <ml:id xml:space="preserve" subscript="11">f</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="21">f</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="12">f</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="22">f</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:matrix> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="66" left="6" top="1359" width="264.75" height="36.75" align-x="40.5" align-y="1380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> 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</ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:matrix> </ml:symResult> </ml:symEval> </math> <rendering item-idref="24"/> </region> <region region-id="68" left="6" top="1437" width="360" height="22.5" align-x="87.75" align-y="1452" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:symEval style="default" hide-keywords="false" hide-lhs="false" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:determinant/> <ml:apply> <ml:id xml:space="preserve" font="17">Δ</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> <ml:command> <ml:id xml:space="preserve">simplify</ml:id> </ml:command> <ml:symResult> <ml:apply> <ml:minus/> 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<ml:id xml:space="preserve">simplify</ml:id> </ml:command> <ml:command> <ml:sequence> <ml:id xml:space="preserve">collect</ml:id> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:sequence> </ml:command> <ml:symResult> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">β</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">k</ml:id> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> 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<ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">β</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">k</ml:id> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:id xml:space="preserve">sin</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:neg/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="1">k</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:apply> <ml:id xml:space="preserve">cos</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:real>0</ml:real> </ml:apply> </math> <rendering item-idref="27"/> </region> <region region-id="76" left="6" top="1616.25" width="177" height="12" align-x="6" align-y="1626" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> Uguagliando a zero il determinante si ha: </text> </region> <region region-id="75" left="6" top="1648.5" width="118.5" height="41.25" align-x="39.75" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="1">k</ml:id> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="1">k</ml:id> <ml:id xml:space="preserve" subscript="2">k</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">a</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">β</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </math> <rendering item-idref="28"/> </region> <region region-id="82" left="180" top="1658.25" width="31.5" height="12" align-x="193.5" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> oppure </text> </region> <region region-id="80" left="306" top="1629.75" width="117" height="75" align-x="339.75" align-y="1668" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:apply xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:equal/> <ml:apply> <ml:id xml:space="preserve">tan</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:apply> <ml:neg/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">β</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="2">k</ml:id> <ml:id xml:space="preserve" 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