contestada

6 sin _ _ 3 csc _ = 0

Solve the equation for _ if 0Á _ _ < 360Á.
(Enter your answers as a comma-separated list.)

*Okay, so I know csc _ = 1/sin _

6 sin _ - 3 csc _ = 0
6 sin _ - (3/sin _) = 0
3 sin _ (2 - ? ) = 0

That's where I got stuck.
How do I simplify it further to find the answer?

Respuesta :

nobillionaireNobley
6 sin θ - 3 csc θ = 0
6 sin θ = 3 csc θ = 3/sin θ
6 sin^2 θ = 3
sin^2 θ = 3/6 = 1/2
sin θ = sqrt(1/2)
θ = arcsin(sqrt(1/2)) = 45 degrees.
θ = 45°

Otras preguntas