Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If cos B , sin B, cot B are in geometric progression, then the value of tan6B - tan2 B is?

Options:

1

-1

0

2

Correct Answer:

1

Explanation:

A, B, C are in g. p. ⇒ B2 = AC

sin2 B = cos B × cot B = cos B × \(\frac{cos B}{sin B}\)

sin3 B = cos2 B

divide both side by cos3 B

tan3 B = sec B

(tan3 B)2 = sec2 B

tan6 B =  1 + tan2 B

tan6 B - tan2 B = 1