Solve the given equation. (enter your answers as a comma-separated list. let k be any integer. round terms to three decimal places where appropriate. if there is no solution, enter no solution.) 5 sin 2θ - 7 sin θ = 0

5 sin 2θ - 7 sin θ = 0

we know sin 2θ = 2sinθcosθ

5 (2sinθcosθ) - 7sinθ = 0

sinθ (10cosθ - 7) = 0

sinθ = 0

θ = 2k*pi, pi + 2k*pi

cosθ = 0.7

θ = cos^-1 (0.7) = 2k*pi + cos^-1 (0.7)

θ = 2k*pi + cos^-1 (0.7)

θ = 2k*pi - cos^-1 (0.7)