Solve the Equation 4sin^(2)+11sin x-3=0

Addison Parker

Addison Parker

Answered question

2022-09-11

Solve the Equation
4 sin 2 + 11 sin x 3 = 0

Answer & Explanation

Yasmin Lam

Yasmin Lam

Beginner2022-09-12Added 13 answers

4 sin 2 x + 11 sin x 3 = 0
sin x = t ; 1 t 1
4 t 2 + 11 t 3 = 0
D=121+48=169
t 1 = 11 13 8 = 3
t 2 = 11 + 13 8 = 1 4
sin x = 1 4
x = ( 1 ) n arcsin 1 4 + π n
n Z.
( t 1 = 3 is excluded because the condition is unsatisfactory)

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