Question

find the exact value of the trigonometric

function

Answer 1

Step 1 :

The trigonometric functions are and .

The angles both are in quadrant II.

Pythagorean identity : .

Find by using Pythagorean identity.

.          (Since angle is in quadrant II)

Step 2 :

Find by using Pythagorean identity.

.          (Since angle is in quadrant II)

Step 3 :

Find by using sum formula.

Sum formula : .

Substitute the values , , and in sum formula.

The exact value of .

Answer 2

Contd.......

Step 4 :

Find by using difference formula.

Difference formula : .

Substitute the values , , and in difference formula.

The exact value of .

Solution :

The exact values of and .