1.

If sin θ + cosec θ = 2, then the value of sin2 θ + cosec2 θ is:1. 42. 83. 24. 1

Answer» Correct Answer - Option 3 : 2

Given:

sinθ + cosecθ = 2

Formula Used:

cosecθ = 1/sinθ

Calculation:

Let sinθ = x

⇒ sinθ + cosecθ = x + 1/x = 2

⇒ (x + 1/x)2 = 22

⇒ x2 + 2 + 1/x2 = 4

⇒ x2 + 1/x2 = 2

∴ sin2θ + cosec2θ = 2



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