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Question

If cosecθ=4140, then find the values of tanθ and cosθ.

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Solution

Given, cosecθ=4140

We know, sinθ=1cosecθ=4041

Since, sin2θ+cos2θ=1

cosθ=1sin2θ=1(4041)2=941

Since, tanθ=sinθcosθ=4041941=409

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