Home › TS EAPCET (Engineering) › Mathematics › Trigonometric Functions › If the product sin x cos x must be zero somewher…
If the product sin x cos x must be zero somewhere in a full turn including both ends, how many angles work?
A3
B5
C4
D6
Answer & Solution
Correct answer: B. 5
Either sin x = 0 (0, π, 2π) or cos x = 0 (π/2, 3π/2), giving five solutions in total.
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