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Determine the exact values of the six trigonometric functions.

0 votes

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

asked Jan 8, 2015 in TRIGONOMETRY by anonymous

2 Answers

0 votes

(a) The point  is 

Step 1:

The above coordinate pair in first quadrant.

Angle is in first quadrant.

Graph:

.

From Pythagorean theorem,

.

Step 2:

Six trigonometric functions are

, , ,

, image, .

Substitute the values of  in above ratios

, , ,

, image, .

Solution:

Six trigonometric functions are , , , ,image and .

answered Jan 8, 2015 by cameron Mentor
edited Jan 8, 2015 by cameron
0 votes

b) The point  is 

Step 1:

The above coordinate pair in second quadrant.

Angle is in second quadrant.

Graph:

From Pythagorean theorem,

.

Step 2:

Six trigonometric functions are

, , ,

, image, .

Substitute the values of  in above ratios

, , ,

, image, .

Solution:

Six trigonometric functions are  , , ,

, imageand .

answered Jan 8, 2015 by cameron Mentor

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