What is the value of \cot^2 \theta - (1/{\sin^2 \theta}) ?

Symbiosis National Aptitude Test SNAP 2015 Paper

Question : 32 of 150

Marks: +1, -0

What is the value of

cot^2 θ - (1/{sin^2 θ})

Solution:

cot^2θ-1/{sin^2θ}

{cos^2θ}/{sin^2θ}-1/{sin^2θ}

-{sin^2θ}/{sin^2θ}

= - 1

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