Q. 4

# The value of isA. cot θ − cosec θB. cosec θ + cot θC. cosec2θ + cot2θD. (cot θ + cosec θ)2

Note: Since all the options involve the trigonometric ratios cosec θ and cot θ, so we divide the whole term (numerator as well as denominator) by sin θ.

To find:

Consider

Dividing numerator and denominator by sin θ, we get

Rationalizing the term by multiplying it by ,

Now, as 1 + cot2 θ = cosec2 θ

cosec2 θ – cot2 θ = 1

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