Q17 of 153 Page 7

If , then find the value of 2 cot2θ + 2.

Given:

To find: 2 cot2 θ + 2


∵


⇒ cosec2 θ = 32 = 9


Also, 1 + cot2 θ = cosec2 θ


⇒ cot2 θ = cosec2 θ – 1 = 9 – 1 = 8


⇒ 2 cot2 θ + 2 = 2 (8) + 2 = 16 + 2 = 18


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