Q19 of 37 Page 1

Evaluate:

We have


We know that,


sin (90° - θ) = cos θ


cos (90° - θ) = sin θ


tan (90° - θ) = cot θ


cot (90° - θ) = tan θ


sec (90° - θ) = cosec θ


cosec (90° - θ) = sec θ


Using these values, we can re-write as



=


= 1 + [∵ sin θ × cosec θ = 1 & cosec2 θ – cot2 θ = 1]


= 1 + [∵ sin2 θ + cos2θ = 1]


= 1 + 1


= 2


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