AP EAPCET (Engineering) Trigonometry: Trigonometric Equations — practice questions
31 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice AP EAPCET (Engineering) Trigonometry: Trigonometric Equations in the app →Cosine equals 1/2 at which two angles in one full turn?Between 0 and 2π, tan x = 1 is true for which pair?Given cos x = cos α, all possible x areFrom tan x = tan α we conclude thatSolving sin²x = sin²α yieldsWhat does tan²x = tan²α imply for x?The relation sec x = sec α holds exactly whenFor cot x = cot α, the values of x areCount the roots of sin x = 1/2 lying in [0, 2π].Count the zeros of cos x on the interval [0, 4π].Two angles in [0, 2π] satisfy cos x = −1/2. They areList the angles in [0, 2π] where sin x = −1/2.Find x in [0, 2π] for which tan x = √3 (two values).Pick the value in [0, π) that solves tan x = −1.Solve sin x = 1/2 over all reals.What are all real x with tan x = √3?State the full solution set of cos x = −1/2.Solve tan x = −1/√3 completely.Find all x satisfying cos 3x = 0.Solve the equation sin x + cos x = 0.Given sin x = 1/2 and cos x = −√3/2 in [0, 2π], find x.The usual range of principal values of sin⁻¹ x isWhat is the smallest period of the function sin x?Tangent repeats its values after which smallest interval?The function sin 2x has least periodFind the least period of cos(x/2).The expression 1 + tan²x is equal toThe product 2 sin A cos B equalsThe sum sin C + sin D equalsThe multiple-angle formula for sin 3A isThe solutions of sin θ = 1 are π/2, 5π/2, 9π/2 and so on. Consecutive values differ by