Explanation:
L.H.S=csc
4
θ−csc
2
θ
=(csc
2
θ)
2
−csc
2
θ
=(1+cot
2
θ)
2
−csc
2
θ {∵csc
2
θ=1+cot
2
θ}
=1+2cot
2
θ+cot
4
θ−csc
2
θ
=2cot
2
θ+cot
4
θ+1−csc
2
θ
=2cot
2
θ−cot
2
θ+cot
4
θ {∵1−csc
2
θ=−cot
2
θ}
=cot
2
θ+cot
4
θ=RHS proved.
Author:
kameront5ue
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