Verify the Trigonometric Identity cos(x - pi/2) = sin(x)

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Verify cos(x - pi/2) = sin x

Establish sum and difference identity sin(pi/2 + x) = cos x.

Verify sin(x - pi/2) = -cosx

prove cos(x - pi/2) = sinx

Verify the Trigonometric Identity cos(x - pi) = -cos(x)

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Verify the Trigonometric Identity cos(pi/2 + x) = -sin(x)

prove sin(x - pi/2) = -cosx