Home › TS EAMCET › Mathematics › Trigonometry: Trigonometric Ratios upto Transformations › The minimum value of sin x − cos x over all real…
The minimum value of sin x − cos x over all real x is:
A−√2
B−1
C−2
D0
Answer & Solution
Correct answer: A. −√2
sin x − cos x is a sine wave of amplitude √(1 + 1) = √2, so its least value is −√2.
Related questions
If cos θ = 2/3, the value of cos 2θ is:In the third quadrant, which pair of ratios is positive?If sin θ = 3/5 with θ acute, then cos 2θ equals:For acute angles A and B with sin A = 3/5 and cos B = 5/13, sin(A + B) is:Given tan A = 3 and tan B = 1/2, what is tan(A − B)?If tan A = 1/2 and tan B = 1/3, then A + B in degrees is:The product of sin(kπ/6) for k = 1, 2, 3, 4, 5 equals:The value of sin 45° sin 90° sin 135° is: