1.

1). √3/22). 1/√33). 2/√34). √(2/3)

Answer»

(5cosec2θ + 3cot2θ) = 21---- (1)

We KNOW that:

(cosec2θ – cot2θ) = 1

∴ (3cosec2θ – 3cot2θ) = 3---- (2)

ADDING equations (1) and (2)

⇒ 8cosec2θ = 24

⇒ cosecθ = √3

∴ cosθ = √(2/3)



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