Home › TS EAPCET (Engineering) › Mathematics › Trigonometric Functions › Solve the equation √3 cos x + sin x = 2 for an a…
Solve the equation √3 cos x + sin x = 2 for an angle in [0, 2π].
Aπ/6
Bπ/3
Cπ/4
Dπ/2
Answer & Solution
Correct answer: A. π/6
The left side equals 2 sin(x + π/3), which equals 2 only when x + π/3 = π/2, so x = π/6.
Related questions
Inside (0, π/2), the angle where tan x equals its own reciprocal isThe least positive root of the equation sin 2x = sin x isAdding every root of 2 sin x cos x = sin x on [0, π] givesBetween 0 and 2π inclusive, how many angles satisfy sin 2x = 1?Solving sin x = sin α completely, with n an integer, givesTangent takes positive values in which pair of quadrants?A point has sine 3/5 and sits in the second quadrant; its cosine isHalving the angle inside a cosine stretches its repetition length to