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Question

A solution of the equation cosec2θ + cot2θ = 3 is ....................

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Solution

cosec2θ + cot2θ = 3

(1sin2θ) + (cos2θsin2θ) = 3

1 + cos2θ = 3 sin2θ

we can replace 1 by sin2θ + cos2θ

Thus the equation be comes.

sin2θ + cos2θ + cos2θ = 3 sin2θ

cosθ = sinθ

Thus, θ = 45.


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