Verify the identity. sin quantity x plus pi divided by two = cos x
2 Answers By Expert Tutors
Experienced Physics Teacher for Physics Tutoring
Kenneth gave you a good answer. Here is another way, using the identity
sinθ = cos(π/2 - θ)
and the property
cos(-x) = cos(x).
Let θ = x + π/2
sin(x + π/2) = cos[π/2 - (x + π/2)] = cos(-x) = cos(x)
Expert Help in Algebra/Trig/(Pre)calculus to Guarantee Success in 2018
sin(x+pi/2) = sin x cos (pi/2) + cos x sin (pi/2) = (sin x)(0) + (cos x)(1) = cos x using angle-sum formula for sine.
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