TS EAPCET (Engineering) Trigonometric Functions — practice questions
83 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice TS EAPCET (Engineering) 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: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:A student wants every angle whose sine vanishes. For integer n, the solution set of sin x = 0 isZeros of the cosine curve occur at which x-values, n being an integer?Counting intersections of y = sin x with y = 1/2 over one full turn from 0 to 2π gives how many points?Within a single full rotation, the sine of an angle is one half at which two angles?Name the pair of angles within one rotation whose cosine is exactly half.Between 0 and 2π, the tangent function equals 1 at which pair of angles?Sine is negative one half at which two angles of a single revolution?Find the two angles in [0, 2π] whose cosine is the negative of one half.Among angles from 0 up to but not including π, which one has a tangent equal to the square root of 3?How many real numbers x can make the sine equal to 2?Which of these four equations can be solved by some real angle?The least positive angle at which twice the cosine equals root three isSmallest positive angle for which the sine of double the angle is zero:All angles at which the cosine of double the angle vanishes are given byInside the open interval from 0 to π, how many angles make sin 3x vanish?Write all angles whose tangent equals one, using an integer n.At which two angles in [0, 2π] do sine and cosine take equal values?If the product sin x cos x must be zero somewhere in a full turn including both ends, how many angles work?Between 0 and a right angle (in radians), twice the squared sine equals one atSquared sine equal to one quarter, with the angle confined to [0, π], is satisfied byCounting angles from 0 to 2π inclusive, how many make the squared cosine equal to 1?In [0, π] with π/2 excluded, tan²x = 3 holds for which angles?On the interval [0, π], the number of angles making cos 2x equal to 1 isOver a full turn, the sum sin x + cos x reaches exactly 1 at how many angles (0 and 2π counted)?Solve the equation √3 cos x + sin x = 2 for an angle in [0, 2π].The largest possible value of the sum sin x + cos x for any real angle isOver [0, π], the sum of sine and cosine equals root two at which angle?Adding up every root in [0, 2π] of the quadratic 2 sin²x - 3 sin x + 1 = 0 givesThe quadratic 2 sin²x + sin x - 1 = 0 is solved on [0, 2π]; how many roots arise?Which positive angle first makes the sum of sin x and sin 3x vanish?Counting the roots of cos x + cos 3x = 0 on [0, π], one getsFind the least positive angle satisfying 4 sin x cos x = 1.Within [0, π], the tangent equals -1 at the angleOn the interval [0, 2π], the angle where sine hits its minimum of -1 isGive the full solution set of cos x = -1, with n an integer.The first positive angle whose secant is 2 equalsIn the open interval (0, π), the cotangent equals 1 atWhat can be said about solving cosec x = 1/2 over the reals?Doubling the angle inside the tangent changes its period toThe sine wave of 3x repeats after how much increase in x?Halving the angle inside a cosine stretches its repetition length toA point has sine 3/5 and sits in the second quadrant; its cosine isTangent takes positive values in which pair of quadrants?Solving sin x = sin α completely, with n an integer, givesBetween 0 and 2π inclusive, how many angles satisfy sin 2x = 1?Adding every root of 2 sin x cos x = sin x on [0, π] givesThe least positive root of the equation sin 2x = sin x isInside (0, π/2), the angle where tan x equals its own reciprocal is