SOLUTION: Find the exact value for each expression Sin (3pi/4 + 5pi/6)

SOLUTION: Find the exact value for each expression Sin (3pi/4 + 5pi/6)

Algebra.Com

Question 852266: Find the exact value for each expression
Sin (3pi/4 + 5pi/6)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Find the exact value for each expression
Sin (3pi/4 + 5pi/6)
Identity: sin(x+y)=sinxcosy+cosxsiny
Sin (3pi/4 + 5pi/6)=sin(3π/4)*cos(5π/6)+cos(3π/4)*sin(π/6)
=√2/2*(-√3/2)+(-√2/2*1/2)
=-√6/2-√2/2
=-(√6+√2)/2
RELATED QUESTIONS
Find the exact value of each expression sin (3pi/4) + sin... (answered by lwsshak3)

Find the exact value of the expression: sin (3pi/4) cos (5pi/6) - cos(3pi/4) sin... (answered by lwsshak3)

Find the exact value of the expression sin^-1(tan 5pi/4) (answered by KMST)

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

Find the exact value of sin^-1(cos... (answered by oscargut)

Find the exact value of the expression, if possible. sin^-1... (answered by jim_thompson5910)

Find the exact value of the expression cos(pi/12)cos(3pi/4) - sin(pi/12)sin(3pi/4) (answered by edjones)

use the reference angle to find the exact value of the given expression... (answered by lwsshak3)

Please I need help Let f(x)=sin x, g(x)=cos x, and h(x)=2x Find the exact value of (answered by stanbon)