SOLUTION: use pi/3 + pi/4=7pi/12 find the exact value of sin 7pi/12

Question 285553: use pi/3 + pi/4=7pi/12 find the exact value of sin 7pi/12
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
use pi/3 + pi/4=7pi/12 find the exact value of sin 7pi/12
-----------------------
sin(pi/3) = 1/2
cos(pi/3) = sqrt(3)/2
sin(pi/4) = sqrt(2)/2
cos(pi/4) = sqrt(2)/2
----------------
sin(A+B) = sin(A)cos(B) + sin(B)cos(A)
sin(7pi/12) = 1/2*sqrt(2)/2 + sqrt(3)/2*sqrt(2)/2
= sqrt(2)/4 + sqrt(6)/4
=

RELATED QUESTIONS
14. find the exact value of sin,cos,tan for this equation 7pi/12= pi/3+pi/4 (answered by Alan3354)

1. find the value of cos 7pi/6 sin 3 pi/4 + sin 7pi/6 cos 3pi/4 (answered by Alan3354)

Find exact value of cos 3pi/4 sin... (answered by lwsshak3)

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

Suppose a genius figured out that sin(7pi/12)= -((sqrt(2)+sqrt(60)/4) Find each of (answered by KMST)

Find the exact value of sin(pi/3 -... (answered by jim_thompson5910)

What is exact value of sec(5pi/6)cos(7pi/4)- cot(-pi/3) Thank you. (answered by ad_alta)

Find the exact value of sin(7pi/12) by using a sum or difference formula. (answered by Edwin McCravy)

What is the exact value of sin(-7pi/12) and how do you find... (answered by rothauserc,ikleyn,math_helper)