Question

Find tan 3x if tan x= 1.

(a) 1

(b) -1

(c) 1/\(\sqrt{3}\)

(d) \(\sqrt{3}\)

This question was addressed to me in my homework.

This question is from Trigonometric Functions of Sum and Difference of Two Angles-2 topic in chapter Trigonometric Functions of Mathematics – Class 11

Answer 1

Correct option is (b) -1

Easiest explanation: We know, tan 3x = (3tanx – tan^3x)/(1-3tan^2x)

= (3*1 – 1)/(1-3)

= (2)/(-2) = -1.