Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Trigonometry

Question:

If sinx, cosx and tanx are in G.P.

then find the value of cot6x - cot2x = ?

Options:

-1

0

1

4

Correct Answer:

1

Explanation:

If a,b,c are in G.P.

than b2 = ac

cos2x = sinx × tanx

cos2x = \(\frac{sinx\;×\;sinx}{cosx}\)

⇒ cos3x = sin2x

Divide by sin3x

we get,

cot3x = cosecx

Put in find

cosec2x-cot2x = 1