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Evaluate: |cos15osin15osin75ocos75o| ....

Evaluate: `|cos15osin15osin75ocos75o|` .

Text Solution

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Using fundamental theorem of determinant, `|[cos15^o,sin15^o],[sin75^o,cos75o]|`
=`cos15^ocos75^o−sin15^0sin75^o `
=`cos(75^o+15^o)=cos90^o=0,`
[using sum to product formula]
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