Q30 of 76 Page 52

If sin θ + cosec θ = 2, then sin2θ + cosec2θ is equal to

Given that, sin θ + cosec θ = 2


Squaring both sides, we get


⇒ (sin θ + cosec θ)2 = 22


⇒ sin2θ + cosec2θ + 2 sin θ cosec θ = 4



⇒ sin2θ + cosec2θ + 2 = 4


⇒ sin2θ + cosec2θ = 2

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