Question

If tan x = 0 then x = _________

(a) nπ

(b) (2n+1) π/2

(c) (n+1) π

(d) nπ/2

The question was asked in unit test.

Question is from Trigonometric Functions in division Trigonometric Functions of Mathematics – Class 11

Answer 1

The correct option is (a) nπ

Easy explanation: We know, tan x = sin x / cos x. So, tan x will be zero wherever sin x is zero except the points where cos x is also zero. We know there is no point where sin x as well as cos x both are zero. So, tan x = 0 => x=nπ.