If tanθ + cotθ = 4, then fin

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tanθ + cotθ = 4, then find the value of tan²θ + cot²θ.

Options:

Correct Answer:

Explanation:

tanθ + cotθ = 4

on squaring both side ,

( tanθ + cotθ)² = 4²

tan²θ + cot²θ + 2tanθ. cotθ = 16

{ tanθ = \(\frac{1}{cotθ}\) }

tan²θ + cot²θ = 16- 2

tan²θ + cot²θ = 14