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

0 votes
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
asked Jan 24, 2015 in PRECALCULUS by anonymous

1 Answer

0 votes

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 : image.

                 image

.

Use reciprocal identities : .

image

.

Step 2:

image

Use cofunction identities : image.

                  image

image.

Use reciprocal identities : image.

image

image.

Step 3:

Use quotient identities : image.

image


image.

Use reciprocal identities : image.

image

image.

Solution :

, image, image.

, image, image.

 

answered Jan 26, 2015 by joseph Apprentice

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