Question

Find the exact value of cos(arcsin(one fourth)). For full credit, explain your reasoning.

Answer 1

We are asked to give the exact value of cos(arcsin(one fourth)). In this case, we shift first the setting to degrees since this involves angles. we determine first arc sin of one fourth equal to 14.48 degrees. then we take the cos of 14.48 degrees equal to 0.9682. Answer is 0.9682.