Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

Find the value of tan 3θ if sec 3θ= cosec (4θ-15°).

Options:

$\frac{1}{\sqrt{3}}$

$\sqrt{3}$

-1

1

Correct Answer:

1

Explanation:

Given :-

sec 3θ= cosec (4θ-15°)

If secA = cosecB then A + B = 90º

So , 3θ + 4θ - 15° = 90°

7θ = 105°

θ = 15°

Now , tan 3θ = tan 45° = 1