JEE Main 2021 — Trigonometric Equations Questions with Solutions

The number of solutions of sin 7 x + cos 7 x = 1 ,   x ∈ [ 0 ,   4 π ] is equal to

If 0 < x , y < π and cos x + cos y - cos x + y = 3 2 , then sin x + cos y is equal to:

The sum of all values of x in [ 0 , 2 π ] , for which sin x + sin 2 x + sin 3 x + sin 4 x = 0 , is equal to :

The number of distinct real roots of sin x cos x cos x cos x sin x cos x cos x cos x sin x = 0 in the interval - π…

All possible values of θ ∈ 0 , 2 π for which sin 2 θ + tan 2 θ > 0 lie in :

If 3 cos 2 x = 3 - 1 cos x + 1 , then number of solutions of the given equation when x ∈ 0 , π 2 is ________.

The solutions of the equation 1 + sin 2 x sin 2 x sin 2 x cos 2 x 1 + cos 2 x cos 2 x 4 sin 2 x 4 sin 2 x 1 + 4 sin 2 x…

If n is the number of solutions of the equation 2 cos x 4 sin π 4 + x sin π 4 - x - 1 = 1 , x ∈ 0 , &#9…

The number of solutions of the equation x + 2 tan x = π 2 in the interval 0 ,   2 π is

The number of roots of the equation, 81 sin 2 x + 81 cos 2 x = 30 in the interval 0 , π is equal to :