Question

find the exact values of the six trigonometric functions of the given angle. If any are not defined,  say “not defined.” Do not use a calculator.

3π/4

Answer 1

Step 1:

The trigonometric angle is .

where lies in quadrant II.

In quadrant II, sine and cosecant functions are positive and remaining functions are negative.

Use trigonometric identities : .

                

.

Use reciprocal identities : .

.

Step 2:

Use cofunction identities : .

                 

.

Use reciprocal identities : .

.

Step 3:

Use quotient identities : .

.

Use reciprocal identities : .

.

Solution :

, , .

, , .