If cot A = tan (2A - 45°), A is an a

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cot A = tan (2A - 45°), A is an acute angle then tan A is equal to:

Options:

$\frac{1}{2}$

$\sqrt{3}$

Correct Answer:

Explanation:

Given :-

cot A = tan (2A - 45°)

We know ,

tan X = cot Y if X + Y = 90º

So , A + 2A - 45° = 90°

3A = 135°

A = 45°

Now, tanA = tan 45°

= 1