Question

If sin^2(x)=3/4, which could be the value of cos(x)?

a. 1/4
b. 1/2
c. (sqrt2)/2
d. (sqrt3)/2

Answer 1

Answer: We know that sin^2(x) = 3/4, which means sin(x) = +/-sqrt(3)/2, since sin(x) must be positive or zero.

Using the Pythagorean identity, we have:

cos^2(x) = 1 - sin^2(x) = 1 - 3/4 = 1/4

Taking the square root of both sides gives us:

cos(x) = +/- 1/2

Therefore, the possible values of cos(x) are b. 1/2 and d. (sqrt3)/2.