SOLUTION: Use the Half-Angle formulas to determine the exact values of sinx, cosx, and tanx Given: {{{ (-17 (pi))/2 }}}

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Question 814387: Use the Half-Angle formulas to determine the exact values of sinx, cosx, and tanx Given: +%28-17+%28pi%29%29%2F2+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Use the Half-Angle formulas to determine the exact values of sinx, cosx, and tanx. Given: -17π/2
sin(-17π)=sin(π)=0
cos(-17π)=cos(π)=-1
tan(-17π)=tan(π)=0
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Identity: sin(x/2)=±√((1-cos(x))/2)
sin(-17π/2)=-√((1-(-1))/2)=-√(2/2)=-√1=-1
..
Identity: cos(x/2)=±√((1+cos(x))/2)
cos(-17π/2)=-√((1+(-1))/2)=-√(0/2)=0
..
Identity: tan(x/2)=(sin(x))/(1+cos(x))
tan(-17π/2)=-1/(1+(-1))=-1/0=undefined