What is the general solution for 2/3 =(sin(135))/(sin(x)) ?

The general solution for 2/3 =(sin(135))/(sin(x)) is No Solution for x\in\mathbb{R}

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2/3 =(sin(135))/(sin(x))

\frac{2}{3} = \frac{sin ( 13 5 ^{\circ} )}{sin ( x )}

No Solution for x \in R

Solution steps

\frac{2}{3} = \frac{sin ( 13 5 ^{\circ} )}{sin ( x )}

Switch sides

\frac{sin ( 13 5 ^{\circ} )}{sin ( x )} = \frac{2}{3}

sin (13 5^{\circ}) = \frac{2}{2}

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

Cross multiply

2 \cdot 3 = 4 sin (x)

Switch sides

4 sin (x) = 2 \cdot 3

Divide both sides by

4

sin (x) = \frac{2 \cdot 3}{4}

Verify Solutions

Find undefined (singularity) points:

sin (x) = 0

Combine undefined points with solutions:

sin (x) = \frac{2 \cdot 3}{4}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

10 = cos (x)

tan (θ) = \frac{0}{5}

3 tan (x^{2}) - 1 = 0

sin (θ) = \frac{58}{8}

cos (θ) = - 0.6

What is the general solution for 2/3 =(sin(135))/(sin(x)) ?
The general solution for 2/3 =(sin(135))/(sin(x)) is No Solution for x\in\mathbb{R}