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Find the values of the trigonometric functions of t from the given information.

sin t =  

1
4

,  sec t < 0

cos t  = 
tan t  = 
csc t  = 
sec t  = 
cot t  = 

 

asked Feb 27, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The sine of angle is image, image.

image

Hence image and image.

Since image and image, the value of image lies in Quadrant III.

Find the value of adjacent side.

image

image

image

image

image

Since image lies in Quadrant III, image

Step 2:

image

image

image

Reciprocal identity : .

image

image

Step 3:

Reciprocal identity: .

image

image

Reciprocal identity : .

image

image

Solution:

image

image

image

image

image

answered Feb 27, 2016 by Lucy Mentor

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