Find the exact value of each of the six trigonometric functions of θ.

Question

A point  on  the  terminal  side  of  an  angle θ in standard  position  is  given. Find  the  exact  value  of  each  of  the  six trigonometric functions of θ.

(-3, 4)

Answer 1

Step 1 :

If is an angle in standard position with a point on the terminal side of and , then

, , , , , and .

The point is .

Find the value of .

Apply formula : .

Substitute the values and .

.

Step 2 :

,

,

,

,

, and

.

Solution :

The exact values of the six trigonometric functions are , , ,, , and .