Question

If sin (a) = x, what is cos (a) in terms of x

Answer 1

To find cos(a) in terms of x, use the Pythagorean identity: sin^2(a) + cos^2(a) = 1. Substitute x for sin(a) in the equation x^2 + cos^2(a) = 1 and solve for cos(a) to get cos(a) = sqrt(1 - x^2).

Step-by-step explanation:

To find cos(a) in terms of x, we can use the Pythagorean identity: sin^2(a) + cos^2(a) = 1. Since sin(a) = x, we can substitute x for sin(a) in the equation: x^2 + cos^2(a) = 1. Solving for cos(a), we get cos(a) = sqrt(1 - x^2).