Question

write the trigonometric expression as an

algebraic expression.

Answer 1

Step 1:

The trigonometric function is .

Consider , then .

From Pythagorean theorem,

.

Consider , then .

From Pythagorean theorem,

.

Then, .

Sum formula for trigonometric functions : .

                                    

Substitute , , and in above expression.

From Inverse trigonometric functions :

Solution :

.