What is the general solution for 3-4sin(θ)=4-6sin(θ) ?

The general solution for 3-4sin(θ)=4-6sin(θ) is θ= pi/6+2pin,θ=(5pi)/6+2pin

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3-4sin(θ)=4-6sin(θ)

3 - 4 sin (θ) = 4 - 6 sin (θ)

θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

Solution steps

3 - 4 sin (θ) = 4 - 6 sin (θ)

Solve by substitution

sin (θ) = \frac{1}{2}

sin (θ) = \frac{1}{2} : θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

Combine all the solutions

θ = \frac{π}{6} + 2 πn, θ = \frac{5 π}{6} + 2 πn

\frac{cos ( x )}{sin ( x )} = - 0.00172

x, r^{3} = sin (x)

\frac{( 7 cos ( 2 x ) + 7 )}{2} = \frac{π}{2}

tan (x) = - 1.036

tan (2 x) = \frac{24}{7}

What is the general solution for 3-4sin(θ)=4-6sin(θ) ?
The general solution for 3-4sin(θ)=4-6sin(θ) is θ= pi/6+2pin,θ=(5pi)/6+2pin