If tan A + cot A = 2, then the value of

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Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If tan A + cot A = 2, then the value of 2 (tan² A + cot² A) is:

Options:

Correct Answer:

Explanation:

Given:- tan A + cot A = 2

Let angle A = 45º

= tan 45º + cot 45º

= 1 + 1

= 2 ( satisfied )

Now , 2 (tan² A + cot² A)

= 2 (tan² 45º + cot² 45º)

= 2 ( 1 + 1 )

= 4