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Question
If cosec2 θ (1 + cos θ) (1 − cos θ) = λ, then find the value of λ.
Solution
Given:
`cosec^2θ (1+cosθ)(1-cosθ)=λ`
⇒ `cosec^2θ (1+cosθ)(1-cosθ)=λ`
⇒ `cosec^2θ(1-cos^2θ)=λ`
⇒`cosec^θ sin^2θ=λ`
⇒`1/sin^2θxx sin^2θ=λ`
⇒` 1=λ`
⇒`λ=1`
Thus, the value of λ is 1.
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