Evaluate : ^2 35^ - ^2 55^ - Vidyadip

Question

Evaluate $: \sin^2 35^\circ - \cos^2 55^\circ$

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Answer

$\sin^2 35^\circ - \cos^2 55^\circ$
$= \sin^2 35^\circ - [\cos(90^\circ - 35^\circ)]^2$
$= \sin^235^\circ - \sin^235^\circ$
$= 0$

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