What is the general solution for (30)/(sin(90))=(30)/(sin(x)),x ?

The general solution for (30)/(sin(90))=(30)/(sin(x)),x is No Solution for x\in\mathbb{R}

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(30)/(sin(90))=(30)/(sin(x)),x

\frac{30}{sin ( 9 0 ^{\circ} )} = \frac{30}{sin ( x )}, x

No Solution for x \in R

Solution steps

\frac{30}{sin ( 9 0 ^{\circ} )} = \frac{30}{sin ( x )}, x

sin (9 0^{\circ}) = 1

\frac{30}{1} = \frac{30}{sin ( x )}

Cross multiply

30 sin (x) = 30

Divide both sides by

30

sin (x) = 1

Verify Solutions

Find undefined (singularity) points:

sin (x) = 0

Combine undefined points with solutions:

sin (x) = 1

General solutions for

sin (x) = 1

x = 9 0^{\circ} + 36 0^{\circ} n

Solutions for the range

x

No Solution for x \in R

\frac{sec ( x )}{cos ( x )} - 1 = 0

- 9 (sin (x))^{2} + 2 sin (x) + 2 = 0

cos^{2} (x) - 2 cos (x) + 1 = 0, 0^{\circ} 36 0^{\circ}

sin^{4} (x) = sin^{2} (x), 0 \leq x < 2 π

sin (θ) - 0.1 cos (θ) = \frac{6.88}{9.8}

What is the general solution for (30)/(sin(90))=(30)/(sin(x)),x ?
The general solution for (30)/(sin(90))=(30)/(sin(x)),x is No Solution for x\in\mathbb{R}