Determine the exact values of the six trigonometric functions of the angle.

Question

The point is on the terminal side of an angle in standard position.

Determine the exact values of the six trigonometric functions of the angle.

(- 5, - 2)

Answer 1

Step 1:

The point is .

The point lies in quadrant III.

Graph :

 

From Pythagorean theorem,

Step 2:

Definition of a six trigonometric functions are :

As lies in quadrant III, tangent and cotangent functions are positive and remaining functions are negative.

Substitute the values of in above ratios.

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Solution :

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