SOLUTION: solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution. x=

Algebra ->  Trigonometry-basics -> SOLUTION: solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution. x=      Log On


   

Question 522871: solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution.
x=
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5 for the smallest positive solution.
x=
**
Identity: sin(s-t)=sin s cos t-cos s sin t
sin(5x)cos(8x)-cos(5x)sin(8x)=-0.5
sin(5x-8x)=-0.5
sin(3x)=-0.5
3x=210º
x=70º