What is the general solution for tan(x)sin(2x)=0 ?

The general solution for tan(x)sin(2x)=0 is x=pin

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tan(x)sin(2x)=0

tan (x) sin (2 x) = 0

x = πn

Solution steps

tan (x) sin (2 x) = 0

Solving each part separately

tan (x) = 0 or sin (2 x) = 0

tan (x) = 0 : x = πn

sin (2 x) = 0 : x = πn, x = \frac{π}{2} + πn

Combine all the solutions

x = πn, x = \frac{π}{2} + πn

Since the equation is undefined for:

\frac{π}{2} + πn

x = πn

5 sin (2 θ) = 7 cos (2 θ), 0^{\circ} \leq 2 θ < 72 0^{\circ}

- 7 sin^{2} (θ) + 4 sin (θ) + 7 = 0

- 2 sin^{2} (x) = - 3 sin (x) + 1

sin (x) = \frac{6}{10}

sin (3 x) = 3 cos (3 x)

What is the general solution for tan(x)sin(2x)=0 ?
The general solution for tan(x)sin(2x)=0 is x=pin