SOLUTION: Find the exact value of this. Show your work and explain the steps you take to find the value. tan 13pi/4

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Question 1029335: Find the exact value of this. Show your work and explain the steps you take to find the value.
tan 13pi/4
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
tan%2813pi%2F4%29

Change 13pi%2F4 to degrees:

expr%2813pi%2F4%29%2Aexpr%28%22180%B0%22%2Fpi%29=%22585%B0%22

We subtract 360° enough times to get a
a positive coterminal angle less than 360°: 

585°-360° = 225° (it was only necessary to
subtract 360° one time.)

tan%2813pi%2F4%29=sec%28%22225%B0%22%29

That is in QIII, So to get the reference
angle, we subtract 180° from 225° and get 
225°-180° = 45°.

The tangent is + in QIII, so 

tan%2813pi%2F4%29%22%22=%22%22%22%22%2Btan%28%2245%B0%22%29%22%22=%22%221

Edwin