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