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

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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)
asked Jan 8, 2015 in TRIGONOMETRY by anonymous

1 Answer

0 votes

Step 1:

The point is .

The point lies in quadrant III.

Graph :

 image

From Pythagorean theorem,

image

image

image

image

Step 2:

Definition of a six trigonometric functions are :

image

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

Substitute the values of image in above ratios.

image.

image.

Solution :

image.

image.

 

answered Jan 9, 2015 by joseph Apprentice

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