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If sin\theta + cosec \theta = 3(1)/(3), find the value of sin^(2)\theta + cosec^(2) \theta |
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Answer» Step-by-step explanation:Given sinθ+cosecθ=2 ⟹sinθ+ sinθ 1 =2 squaring on both SIDES (sinθ+ sinθ 1 ) 2 =4 ⟹SIN 2 θ+ sin 2 θ 1 +2(sinθ)( sinθ 1 )=4 ⟹sin 2 θ+ sin 2 θ 1 +2=4 ⟹sin 2 θ+ sin 2 θ 1 =2 ⟹sin 2 θ+cosec 2 θ=2 |
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