Question

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

Answer 1

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°