Write the value of cot2θ – \(\frac{1}{sin^2θ}\)
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To find: cot2θ – \(\frac{1}{sin^2θ}\)
∵ cosecθ = \(\frac{1}{sinθ}\)
cosec2θ = \(\frac{1}{sin^2θ}\)
cot2θ – \(\frac{1}{sin^2θ}\) = cot2θ – cosec2θ
Also, we know that 1 + cot2 θ = cosec2θ
⇒ cot2θ – cosec2θ = – 1
cot2θ – \(\frac{1}{sin^2θ}\) = cot2θ – cosec2θ = – 1