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Questions  

sin3θcos3θsinθcosθcosθ1+cot2θ2tanθcotθ=1 if

a
θ∈0,π2
b
θ∈π2,π
c
θ∈π,3π2
d
θ∈3π2,2π

detailed solution

Correct option is B

sin2⁡θ+cos2⁡θ+sin⁡θcos⁡θ−cos⁡θ|cosec⁡θ|−2=−1or  1+sin⁡θcos⁡θ−|sin⁡θ|cos⁡θ−1=0or  cos⁡θ(sin⁡θ−|sin⁡θ|)=0⇒ θ∈0,π2 or θ∈π2,πBut θ≠π4    (not in domain);Therefore θ∈π2,π

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