SOLUTION: What is the exact value of the tan of -75

Question 505105: What is the exact value of the tan of -75
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the exact value of the tan of -75
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Use tan addition formula:tan(s+t)= (tan s+tan t)/(1-tan s tan t)
For given problem:
s=-45�
t=-30�
reference angle -75� in quadrant IV
tan(-75)=tan(-45-30)=(tan -45�+tan -30�)/(1-(tan -45�*tan -30�))
tan(-45�)=-1
tan(-30�)=-√3/3
tan(-75)=(-1-√3/3)/(1-(-1*-√3/3))
tan(-75)=-(1+√3/3)/(1-√3/3)
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