Trigonometry MCQ & Answers [PDF Download]

If sin θ + cos θ = √2, then find the value of sin⁴θ + cos⁴θ

The value of tan⁻¹(1/2) + tan⁻¹(1/3) is equal to:

If 3 tan θ = 4, then the value of (3 sin θ - 4 cos θ)/(3 sin θ + 4 cos θ) is:

The general solution of the equation sin 2x + cos 2x = 1 is:

If cos⁻¹x + cos⁻¹y = π/3, then the value of x² + y² + xy is:

The number of solutions of the equation tan x + sec x = 2 cos x in [0, 2π] is:

If A + B + C = π and tan A/2 = 1/2, tan B/2 = 1/3, then tan C/2 equals:

The value of sin 18° is:

If cot⁻¹α + cot⁻¹β = cot⁻¹γ, then the value of γ is:

The value of cos 12° cos 48° cos 72° is:

The domain of the function f(x) = sin⁻¹(2x² - 1) is:

If sin θ + sin² θ = 1, then cos² θ + cos⁴ θ equals:

The equation 2 sin² x - 5 sin x + 2 = 0 has solutions in [0, 2π] equal to:

The height of a tower is 100√3 meters. The angle of elevation from a point on the ground is 60°. The distance from the point to the foot of the tower is:

If tan A = 1/7, tan B = 1/3, then tan(A + B) equals:

The value of sin⁻¹(3/5) + cos⁻¹(4/5) is:

The maximum value of the expression 3 sin x + 4 cos x is:

If sec θ - tan θ = 1/3, then sec θ + tan θ equals:

The principal value of sin⁻¹(-1/2) is:

The number of solutions of tan x = cot x in (0, 2π) is:

If α and β are the roots of the equation t² - 3t + 1 = 0, then tan⁻¹α + tan⁻¹β equals:

The value of cos(π/7) cos(2π/7) cos(3π/7) is:

If sin⁻¹x + sin⁻¹y = π/2, then the value of x² + y² is:

The value of tan 1° tan 2° tan 3° ... tan 89° is:

If 2 sin²θ + 3 cos θ = 3, then cos θ equals:

The equation cos x + cos 2x + cos 3x = 0 has a solution:

The value of sin⁻¹(sin 5π/6) is:

If tan(α + β) = √3 and tan α tan β = 1/3, then tan α + tan β equals:

The general solution of sin 3x = sin x is:

If cos⁻¹x - cos⁻¹y = π/3, then 4x² - 4xy cos(π/3) + y² equals: