Q. 25.0( 3 Votes )

Express the following as trigonometric ratio of complementary angle of 90o- θ.

(i) tan (90o- θ)

(ii) cos (90o- θ)

Answer :

(i) We know that,

[ sin 90° = 1 and cos 90° = 0]

tan (90° - θ ) = cot θ

(ii) We know that.

Cos(A - B) = cos A cos B + sin A sin B

cos (90o- θ) = cos 90° cos θ + sin 90° sin θ

cos (90o- θ) = (0) cos θ + (1) sin θ

cos (90o- θ) = sin θ

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