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General Solution of Trigonometric Equation

If cos Ao =...

Question

If $cos A^{o} = sin (A^{o} - 15^{o})$ , find A if $0^{o} < A < 90^{o}$

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Solution

$c o s (A) = s i n (A - 15^{o})$
$s i n (90^{o} - A) = s i n (A - 15^{o})$
$90 - A = A - 15$
$A = \frac{105}{2}$
$A = {52.5}^{o}$

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General Solution of Trigonometric Equation

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