SOLUTION: Use an identity to find the exact value of the expression sin(pi/4 + pi/6)

Question 801493: Use an identity to find the exact value of the expression sin(pi/4 + pi/6)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Use an identity to find the exact value of the expression sin(pi/4 + pi/6)
Identity:sin(s+t)=sin s cost+cos s sin t
sin(π/4+π/6)
=sin(π/4)cos(π/6)+cos(π/4)sin(π/6)
=(√2/2*√3/2)+(√2/2*1/2)
=√6/4+√2/4
=(√6+√2)/4
Check:
sin(π/4+π/6)=sin(5π/12)≈0.9659
exact value=(√6+√2)/4≈0.9659
RELATED QUESTIONS
sin^2 pi/3 + cos^2 pi/3. Use identity to find of the value of the expression (no... (answered by vleith)

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

csc^2 pi/6 - cot^2 pi/6. Use identity to find of the value of the expression (no... (answered by stanbon)

Use a half angle identity to find the exact value of sin(pi/12) Show work... (answered by stanbon)

Find the exact value of the expression as a single fraction.... (answered by Alan3354)

use pi/3 + pi/4=7pi/12 find the exact value of sin... (answered by Alan3354)

Find the exact value of the expression,... (answered by jsmallt9)

Find the exact value of cos(pi) cos(3pi/4) + sin(pi) sin... (answered by jim_thompson5910,MathTherapy)

Use a sum or difference formula to find the exact value of the following. cos 2(pi)/5... (answered by ikleyn)