If cosec θ = \(\frac{1}{4x}\)+ x,

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cosec θ = \(\frac{1}{4x}\)+ x, find cosec θ + cot θ

Options:

Correct Answer:

Explanation:

cosec θ = \(\frac{1}{4x}\)+ x

cosec θ = \(\frac{4x^2+1}{4x}\)

Put x = 1

cosec θ = \(\frac{5}{4}\)

Now cosec θ + cot θ

= \(\frac{5}{4}\) + \(\frac{3}{4}\) = \(\frac{8}{4}\)

= 2 or we can say

= 2x