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ML Aggarwal Solutions Class 10 Mathematics Solutions for Trigonometric Identities Exercise 18 in Chapter 18 - Trigonometric Identities

Question 12 Trigonometric Identities Exercise 18

Prove that following: 

cos θ sin (90° – θ) + sin θ cos (90° – θ) = 1

Answer:

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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