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Prove trigonometric identity. tan theta+1/tan theta=sec theta× cosec theta |
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Answer» Now, secθ+1 tanθ + cosecθ+1 cotθ
= θ−1 tanθ(secθ−1) + 2 θ−1 cotθ(cosecθ−1)
= tanθ (secθ−1) + cotθ (cosecθ−1)
=cosecθ−cotθ+secθ−tanθ =cosecθ+secθ−tanθ−cotθ =cosecθ+secθ−( cotθ cot 2 θ+1 ) =cosecθ+secθ−( cotθ cosec 2 θ ) =cosecθ+secθ−cosecθ.secθ Step-by-step EXPLANATION: |
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