If \cot ^{4} \theta+\cot ^{2} \theta=3.6, then cosec^{4} \theta-cosec^{2} \theta=?

RRB Group D 17-Sep-2018 Shift 1 Solved Paper

Question : 38 of 100

Marks: +1, -0

\cot ^{4} θ+\cot ^{2} θ=3.6,

then

cosec^{4} θ-cosec^{2} θ=?

Solution:

\cot ^{4} θ+\cot ^{2} θ=3.6

\cot ^{2} θ(\cot ^{2} θ+1)=3.6

\cot ^{2} θ \cosec^{2} θ=3.6

(\cosec^{2} θ-1) \cosec^{2} θ=3.6

⇒ \cosec^{4} θ-\cosec^{2} θ=3.6

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