Home › AP EAPCET (Engineering) › Mathematics › Trigonometry: Trigonometric Equations › Given sin x = 1/2 and cos x = −√3/2 in [0, 2π], …
Given sin x = 1/2 and cos x = −√3/2 in [0, 2π], find x.
Aπ/6
B5π/6
C7π/6
D11π/6
Answer & Solution
Correct answer: B. 5π/6
Positive sine and negative cosine place x in the second quadrant, so x = 5π/6.
Related questions
The solutions of sin θ = 1 are π/2, 5π/2, 9π/2 and so on. Consecutive values differ byThe multiple-angle formula for sin 3A isThe sum sin C + sin D equalsThe product 2 sin A cos B equalsThe expression 1 + tan²x is equal toFind the least period of cos(x/2).The function sin 2x has least periodTangent repeats its values after which smallest interval?