What is the general solution for 8sin(x)+4sqrt(3)=0 ?

The general solution for 8sin(x)+4sqrt(3)=0 is x=(4pi)/3+2pin,x=(5pi)/3+2pin

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8sin(x)+4sqrt(3)=0

8 sin (x) + 43 = 0

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

Solution steps

8 sin (x) + 43 = 0

Move

43

to the right side

8 sin (x) = - 43

Divide both sides by

8

sin (x) = - \frac{3}{2}

General solutions for

sin (x) = - \frac{3}{2}

x = \frac{4 π}{3} + 2 πn, x = \frac{5 π}{3} + 2 πn

tan (θ) = 5, sin (θ)

\frac{cot ( B )}{cos ( B )} + \frac{1}{sin ( B )} = 1

cos (3 x - \frac{π}{3}) = 1

2 sin (2 x - 10) - 3 = 0

2 sin (x) + (2 + 2) = - 2 csc (x)

What is the general solution for 8sin(x)+4sqrt(3)=0 ?
The general solution for 8sin(x)+4sqrt(3)=0 is x=(4pi)/3+2pin,x=(5pi)/3+2pin