Home › TS EAPCET (Engineering) › Mathematics › Trigonometric Functions › At which two angles in [0, 2π] do sine and cosin…
At which two angles in [0, 2π] do sine and cosine take equal values?
A3π/4 and 7π/4
Bπ/4 and 3π/4
Cπ/2 and 3π/2
Dπ/4 and 5π/4
Answer & Solution
Correct answer: D. π/4 and 5π/4
Dividing by cos x gives tan x = 1, so x = π/4 and π/4 + π = 5π/4.
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