Solve the equation 3 sin x = 1 for 0° ≤ x ≤ 720°

Step-by-step explanation:

hello:

3 sin x = 1 means : sin x = 1/3

so : all x : x = sin^-1 (1/3) = 19.5°+360°K or : x = (180°-19.5°) + 360°K' ... K and K' in Z.

because : sin (x+360°K) = sinx and sin (180° - x) = sinx

but : 0° ≤ x ≤ 720°

K=0 : x = 19.5°

k = 1 : x=19.5°+360°=379.5°

K'=0 : x = 180°-19.5° = 160.5°

k' = 1 : x=160.5°+360°=520.5°