Question

Find the exact value of the expression, if possible. (If not possible, enter impossible.) cos(arcsin(15/17))

a) 8/17
b) 15/17
c) 1/17
d) Impossible

Answer 1

The exact value of the expression cos(arcsin(15/17)) is 8/17.

Step-by-step explanation:

The expression cos(arcsin(15/17)) can be simplified using the trigonometric identity: cos(arcsin(x)) = sqrt(1 - x^2). In this case, we have x = 15/17.

Substituting x into the identity, we get cos(arcsin(15/17)) = sqrt(1 - (15/17)^2).

Simplifying the expression further, we have cos(arcsin(15/17)) = sqrt(1 - 225/289) = sqrt(64/289) = 8/17.