SSC CGL 2022 PYQ — Question 56

SSC CGL - 06 Dec 2022 - Shift 4 • Quantitative Aptitude • Q56

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

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 1.

sec 3θ = cosec (4θ - 15˚)

In the above equation will be complementary angles.

3θ = 4θ - 15˚

⇒ θ = 15˚

⇒ So, tan 3θ = tan 45˚ = 1