1.

The value of sin2 (90° – θ) [1+ cot2 (90°– θ)] is(a) –1 (b) 0 (c) \(\frac12\)(d) 1

Answer»

(d) 1

Given exp. = cos2 θ [1+ tan2 θ] 

= cos2 θ . sec2 θ = 1

[(∵ sin (90° - θ) = cos θ) (cot (90° - θ) = tan θ)]



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