Answer:
Using trigonometric ratio:


From the given statement:
and sin < 0
⇒
lies in the 3rd quadrant.
then;

Using trigonometry identities:
Substitute the given values we have;

Since, sin < 0
⇒
now, find
:

Substitute the given values we have;

Therefore, the exact value of:
(a)

(b)

We are asked to give the exact value of <span>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.</span>
100 it's like the absolute value