# How do you evaluate #cos(arcsin (1/4))#?

##### 2 Answers

#### Explanation:

By the fact that

Next note that

Thus,

It's also possible to solve this problem by drawing a right triangle, labeling one of the non-right angles as

Less formal style of solution

#### Explanation:

arcsin of some value gives you the angle that was used derive the that value of the sine

The value given can be used in conjunction with the properties of sine to determine a related triangle.

From this and using Pythagoras we can determine the length of the adjacent.

so