sin(6x)cos(11x)+cos(6x)sin(11x)=-0.1

Question

solve for all solutions and provide steps so I can follow.. thank you

Answer 1

the left side of this equation is equivalent to sin(6x+11x).

 

sin 17x = -0.1

 

Solve by taking arcsin; 17x = arcsin(-0.1)

17 x = -5.739170477 + n(360) or 180 + 5.739170477 + n(360).

 

Solve for x and use various integer values for n; the answers aren't pretty.