Use sum-to-product formulas to find the solutions of the equation. (Use n as your arbitrary integer. Enter your answers as a comma-separated list.)

Question

Use sum-to-product formulas to find the solutions of the equation. (Use n as your arbitrary integer. Enter your answers as a comma-separated list.)

sin 11t + sin 9t = 0

t =

Answer 1

sin 11t + sin 9t = 0

2 [sin ((11t + 9t) / 2) cos ((11t - 9t) / 2) ] = 0

2 [sin (20t / 2) cos (2t / 2)] = 0

2[sin 10t cos t] = 0

sin 10t cos t = 0

Can you solve for t and answer?