SOLUTION: Angle A is {{{ 45 }}} degrees and angle B is {{{ 60 }}} degrees. So what's the value of cos(A)sin(B)? A.) ½ (sin(105) + sin(345)) B.) ½ (sin(105) - sin(345)) C.) ½ (sin(345

Algebra ->  Test -> SOLUTION: Angle A is {{{ 45 }}} degrees and angle B is {{{ 60 }}} degrees. So what's the value of cos(A)sin(B)? A.) ½ (sin(105) + sin(345)) B.) ½ (sin(105) - sin(345)) C.) ½ (sin(345      Log On


   



Question 1065708: Angle A is +45+ degrees and angle B is +60+ degrees.
So what's the value of cos(A)sin(B)?
A.) ½ (sin(105) + sin(345))
B.) ½ (sin(105) - sin(345))
C.) ½ (sin(345) + cos(105))
D.) ½ (sin(345) - cos(105))
Thanks a lot.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
cos a * sin b= (1/2)(sin (a+b)- sin (a-b))
=(1/2) [(sin 105)-sin (345)]
B.
the actual product is sqrt (2)/2* sqrt (3)/2=sqrt (6)/4=0.6124
(1/2) * (1.2247)=0.6124