Home › TS EAPCET (Engineering) › Mathematics › Trigonometric Functions › The largest possible value of the sum sin x + co…
The largest possible value of the sum sin x + cos x for any real angle is
A√2
B1
C1/√2
D2
Answer & Solution
Correct answer: A. √2
sin x + cos x = √2 sin(x + π/4), whose largest value is √2.
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