JEE Main Trigonometric Functions — practice questions
86 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Main Trigonometric Functions in the app →$ in(180° - \theta)$ equals:$ in^2\theta + \cos^2\theta$ equals:$ in(A + B) = $$\cos 2\theta$ equals:If $ in\theta + \cos\theta = 1$, then $ in\theta \cdot \cos\theta$ equals:$\cos 3\theta$ equals:sin(0°) equals:cos(90°) equals:sin²θ + cos²θ equals:tan(45°) equals:In which quadrant is sin θ positive and cos θ negative?sec θ is defined as:sin(A + B) equals:cos(A + B) equals:sin(60°) cos(30°) + cos(60°) sin(30°) equals:If sin θ = 3/5 (θ in Q1), find cos θ:Find cos(75°) using cos(A + B):sin(2θ) equals:cos(2θ) equals:Find sin(15°):If tan θ = 1/2 (acute), find sin 2θ:For 0 ≤ θ < 2π, solutions of sin θ = 1/2:1 - cos²θ equals:sin(A) + sin(B) equals (sum-to-product):In a right triangle, if hypotenuse = 13 and one leg = 5, sin θ for angle θ opposite to that leg:tan(A + B) equals:sin(180° - θ) equals:In triangle ABC with sides a, b, c opposite to angles A, B, C: sine rule states:If sin θ + cos θ = 1, then sin θ × cos θ equals:General solution of cos θ = 0:If tan θ + cot θ = 2, find sin 2θ:If sin θ = 12/13 (acute θ in Q1), find tan(θ/2):Minimum value of sin²θ + cos⁴θ:If sin θ = 12/13 (acute), find tan(θ/2):In triangle with sides 7, 8, 9, find cos of the angle opposite to side 9 (use cosine rule):General solution of sin θ = sin α:In the figure, the side $a$ is resolved into projections of the other two sides on the base. Which projection For a triangle with sides $a,b,c$ and semiperimeter $s$, Heron's formula for its area $\Delta$ is
 of:The identity $ in^2\theta + \cos^2\theta$ equals:The identity $1 + \tan^2\theta$ equals:The period of the function $ in x$ is:The radian measure of $45^\circ$ is:$ in(90^\circ - \theta)$ equals:The value of $ in\dfrac{\pi}{6}$ is:The value of $\tan\dfrac{\pi}{4}$ is:The expansion of $ in(A+B)$ is:The maximum value of $3 in\theta$ is:The value of $\cos 180^\circ$ is:An angle of $90^\circ$ in radians is:The value of $ in(\pi/4)$ is:The identity $ in 2A$ equals:The general solution of $\cos x = 1/2$ is:The angle 90° in radians is:The fundamental Pythagorean identity in trigonometry is:The exact value of cos 60° is:The double angle formula sin 2A equals:The general solution of sin θ = 1/2 is:The principal value range of sin⁻¹(x) is:In a triangle ABC, the Law of Sines states:The Law of Cosines, given sides a, b and included angle C, gives the third side c as:The function f(x) = tan x has vertical asymptotes at:The two units used for measuring angles are the degree and the:A degree is divided into how many minutes?A minute of angle is divided into how many seconds?One radian is the angle subtended at the centre by an arc of length:The radian is defined using a circle whose radius is:A full revolution of the initial side subtends an angle of:In a circle of radius r, an arc of length r subtends an angle of:Equal arcs of a circle subtend at the centre angles that are:In earlier classes, trigonometric ratios were defined for angles that are:Trigonometric ratios were originally ratios of sides of a triangle that is:The definitions are extended to any angle using measure in:The unit circle used to define the functions is centred at the:For a point P with coordinates a and b on the unit circle, cos x equals:For that same point P, sin x equals:Because P lies on the unit circle, cos squared x plus sin squared x equals:Angles that are integral multiples of a right angle are called:The values of sin x and cos x repeat after an interval of:In the unit circle picture, OA is the initial side and OB is the:The coordinates of the quadrantal point A on the unit circle are:The coordinates of the quadrantal point B on the unit circle are:The repeating behaviour of sin and cos makes them functions that are:Cosecant and secant repeat after the same interval as sin and cos, namely: