Identify the exact value of the trigonometric functions sin x and cos x.

If x is an acute angle and tan x = 5,

The value of sin x =.

The value of cos x =.

For this case, we have the following expression:

so x = 5

Clearing x we have:

x = atan (5)

x = 78.69 degrees

We have then that the values for the sine and the cosine are:

sine (x) = sine (78.69) = 0.98

cosine (x) = cosine (78.69) = 0.19

Answer:

The value of sine x = 0.98

The value of cos x = 0.19