SOLUTION: Find the exact value of tan 15 by using the composite argument property for tan(A + B) and clever choices for A and B. Write the answer in simple radical form.

Question 519116: Find the exact value of tan 15 by using the composite argument property for tan(A + B) and clever choices for A and B. Write the answer in simple radical form.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value of tan 15 by using the composite argument property for tan(A + B) and clever choices for A and B. Write the answer in simple radical form.
**
Trig identity: tan(s-t)=(tan s-tan t)/(1-tan s tan t)
tan15=tan(45-30)=(tan45-tan30)/(1+tan45*tan30)
tan45=1
tan30=√3/3
tan15=(1-√3/3)/(1+1*√3/3)
tan15�=(1-√3/3)/(1+√3/3)
RELATED QUESTIONS
If tan A = 4/3, and B =45�, find the value of... (answered by ikleyn)

If tan a=1/5 and tan b=1/239, find the value of... (answered by espeigel)

If tan A=8 and tan b=1/2, what is the exact value of tan(a+b) in simplest fractional... (answered by mananth)

Find the exact value of tan (a-b) if sin a= 4/5 and cos b = 5/13... (answered by solver91311)

If A and B are both acute angles, tan A = 4/7 and tan B = 8, find the exact value of tan... (answered by ikleyn,Fombitz)

Given that tan A=1/5. Find the values of tan 2A, tan 4A and tan (45�-4A). I have... (answered by ikleyn)

Using tanθ = sinθ/cosθ, prove the addition formula for tangent, tan(A +... (answered by arallie)

Please help me, find the exact value of the composite function.... (answered by CubeyThePenguin)

If sin A=3/5, cos B=8/17, and A and B are acute angles, determine the exact value of tan... (answered by MathLover1,Solver92311)