Question

Sin x * cos 37 = cos x sin 37 solve for x

Answer 1

Answer:

$\sin(x) \cos(37) = \cos(x) \sin(37)$

$\sin(x) \cos(37) - \cos(x) \sin(37) = 0$

$\sin(a - b) = \sin(a) \cos(b) - \cos(a) \sin(b)$

$\sin(x + 37) = 0$

$\sin(x + 37) = \sin(0°)$

$x + 37 = 0$

$x = - 37$

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