Prove that following:
cos θ sin (90° – θ) + sin θ cos (90° – θ) = 1
Solution:
Here we can apply the identiy sin2 θ + cos2 θ =1
L.H.S. = cos θ sin (90° – θ) + sin θ cos (90° – θ)
= cos θ x cos θ + sin θ x sin θ
= cos2 θ + sin2 θ
= 1 = R.H.S.
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