Home › TS EAPCET (Engineering) › Mathematics › Trigonometric Functions › Name the pair of angles within one rotation whos…
Name the pair of angles within one rotation whose cosine is exactly half.
Aπ/3 and 2π/3
B2π/3 and 4π/3
Cπ/6 and 11π/6
Dπ/3 and 5π/3
Answer & Solution
Correct answer: D. π/3 and 5π/3
Cosine is positive in the first and fourth quadrants, giving π/3 and 2π - π/3 = 5π/3.
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