SOLUTION: Find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value. 1. sin 17pi/6 2. tan 13pi/4 3. sec 11pi/3

Algebra ->  Test -> SOLUTION: Find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value. 1. sin 17pi/6 2. tan 13pi/4 3. sec 11pi/3      Log On


   

Question 1028834: Find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value.
1. sin 17pi/6
2. tan 13pi/4
3. sec 11pi/3
Answer by ikleyn(52921) About Me  (Show Source):
You can put this solution on YOUR website!
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Find the exact value of each of the following. In each case, show your work and explain the steps you take to find the value.
1. sin 17pi/6
2. tan 13pi/4
3. sec 11pi/3
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1.  sin%2817pi%2F6%29 = sin%2818pi%2F6+-+1pi%2F6%29 = sin%283pi+-+pi%2F6%29 = sin%28pi+-+pi%2F6%29        ( since sin is periodic with the period of 2pi )

    = sin%28pi%2F6%29 =      ( since sin%28pi-alpha%29 = sin%28alpha%29 for any alpha )

    = 1%2F2.             ( as everybody knows )