Mathematics
Prove the following :
cos θ sin (90° - θ) + sin θ cos (90° - θ) = 1
Trigonometrical Ratios
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Answer
To prove,
cos θ sin (90° - θ) + sin θ cos (90° - θ) = 1.
We know that,
sin (90 - θ) = cos θ and cos (90 - θ) = sin θ
Solving L.H.S. of the equation, we get :
⇒ cos θ cos θ + sin θ sin θ
⇒ cos2 θ + sin2 θ
⇒ 1.
Since, L.H.S. = R.H.S.
Hence, proved that cos θ sin (90° - θ) + sin θ cos (90° - θ) = 1.
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