What is the general solution for 5sin(x)=sqrt(3)+3sin(x) ?

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

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5sin(x)=sqrt(3)+3sin(x)

5 sin (x) = 3 + 3 sin (x)

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

Solution steps

5 sin (x) = 3 + 3 sin (x)

Solve by substitution

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

sin (x) = \frac{3}{2} : x = \frac{π}{3} + 2 πn, x = \frac{2 π}{3} + 2 πn

Combine all the solutions

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

cos (a) = 0.3

5 + 3 tan (x) = 4

cos (x) + sin (\frac{x}{2}) = 0

4 cos (2 θ) = 8 sin^{2} (θ)

cos (θ) = (\frac{5}{29})

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