I need to find the identity of this equation for pre calc
1 answer:
Expand the left side using the angle sum identity for sine:
sin(<em>x</em> + <em>π</em>/2) = sin(<em>x</em>) cos(<em>π</em>/2) + cos(<em>x</em>) sin(<em>π</em>/2)
cos(<em>π</em>/2) = 0 and sin(<em>π</em>/2) = 1, so the right side reduces to
sin(<em>x</em> + <em>π</em>/2) = cos(<em>x</em>)
as required.
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