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Find the exact value of tan theta given that sin theta = -15/17 and theta is in Quadrant III

 
 Nov 7, 2015
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Find the exact value of tan theta given that sin theta = -15/17 and theta is in Quadrant III

 

3rd quad so will be tan be pos or neg?   

 

Draw a right angeld triangle.

theta is one of the acute angles.

put 15 an 17 on two sides to make sin theta=15/17 true

Find the third side using Pythagoras

Read tan theta off the triangle.  Make sue you add the plus or the minus as needed.

 Nov 8, 2015

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