If tan2 θ + tan4 θ

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan² θ + tan⁴ θ = 1, then:

Options:

cot² θ + cot⁴ θ = 1

cos² θ + cos⁴ θ = 1

sin² θ + sin⁴ θ = 1

cosec² θ + sec⁴ θ = 1

Correct Answer:

cos² θ + cos⁴ θ = 1

Explanation:

Given :-

tan² θ + tan⁴ θ = 1 ----(1)

tan² θ( 1 + tan² θ ) = 1

tan² θ . sec² θ = 1

tan² θ = cos² θ

Put value of tan² θ in equation 1

So , cos² θ + cos⁴ θ = 1 , option 2 is correct