SOLUTION: Help me solve tan 11pi/12

Question 954955: Help me solve tan 11pi/12

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Help me solve tan 11pi/12
tan(11π/12)=tan(8π/12+3π/12)=tan(2π/3+π/4)
Identity: tan(x+y)=(tanx+tany)/(1-tanxtany)
tanx=tan(2π/3)=-√3
tany=tan(π/4)=1
tan(11π/12)=tan(2π/3+π/4)=(-√3+1)/(1+√3*1)=(-√3+1)/(1+√3)
Check:
tan(11π/12)≈-0.2679.. (w/calculator)
exact value=(-√3+1)/(1+√3)≈-0.2679..
RELATED QUESTIONS
tan(11pi/12) (answered by ikleyn)

tan... (answered by jim_thompson5910)

Can you please help me solve this: What is the number of degrees in an angle whose... (answered by Alan3354)

whats is tan... (answered by josmiceli)

Can you please help me with the following problem, the following equation involves... (answered by ikleyn)

Use an Addition or Subtraction Formula to find the exact value of the expression, as... (answered by lwsshak3)

Evaluate. tan(2 arc tan of 5/12) arc cos(sin of 11pi/6) sin(1/2 arc tan of... (answered by lwsshak3)

Find the exact value. (We are suppost to be using the trig addition and subtraction... (answered by jim_thompson5910)

Please help me solve this equation {{{ ((tan 28 degrees)+(tan 32 degrees)) / (1 - (tan 28 (answered by rothauserc)