If sinx 3/4 than cosx =?

Answer 1

To determine the value of cos(x), we can use the Pythagorean identity, which states that sin^2(x) + cos^2(x) = 1. Given that sin(x) = 3/4, let's calculate cos(x):

sin^2(x) + cos^2(x) = 1
(3/4)^2 + cos^2(x) = 1
9/16 + cos^2(x) = 1
cos^2(x) = 1 - 9/16
cos^2(x) = 16/16 - 9/16
cos^2(x) = 7/16

Taking the square root of both sides, we get:

cos(x) = ± √(7/16)

Since cos(x) can be negative or positive, the possible values of cos(x) are:

cos(x) = ± √(7/16)

Or, simplified:

cos(x) = ± √7/4