SOLUTION: Find the exact value of tan 345

Question 440920: Find the exact value of tan 345
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value of tan 345
Use adddition formula for tan
tan(345)=tan(300+45)=(tan300+tan45)/(1-tan300*tan45)
Reference angle for tan 300 is 60 deg in quadrant IV where tan is negative
tan300=-√3
tan45=1
tan 345=(-√3+1)/(1+√3*1)=(1-√3)/(1+√3)
=(1-√3)/(1+√3)*(1-√3)/(1-√3)=(1-√3)^2/1-3=(1-2√3+3)/2=(4-2√3)/2=2-√3
ans:
tan345=2-√3
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