What is the general solution for (sin(40))/8 =(sin(65.38))/(sin(x)) ?

The general solution for (sin(40))/8 =(sin(65.38))/(sin(x)) is No Solution for x\in\mathbb{R}

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(40))/8 =(sin(65.38))/(sin(x))

\frac{sin ( 4 0 ^{\circ} )}{8} = \frac{sin ( 65.3 8 ^{\circ} )}{sin ( x )}

No Solution for x \in R

Solution steps

\frac{sin ( 4 0 ^{\circ} )}{8} = \frac{sin ( 65.3 8 ^{\circ} )}{sin ( x )}

Cross multiply

sin (4 0^{\circ}) sin (x) = 8 sin (65.3 8^{\circ})

Divide both sides by

sin (4 0^{\circ})

sin (x) = \frac{8 sin ( 65.3 8 ^{\circ} )}{sin ( 4 0 ^{\circ} )}

Verify Solutions

Find undefined (singularity) points:

sin (x) = 0

Combine undefined points with solutions:

sin (x) = \frac{8 sin ( 65.3 8 ^{\circ} )}{sin ( 4 0 ^{\circ} )}

- 1 \leq sin (x) \leq 1

No Solution for x \in R

cos (28 π + x) = \frac{1}{2}

1 - tan^{2} (x) = \frac{cos ^{2} ( x )}{cos ^{2} ( x )}

- 2 = - 2 sec (x) + tan^{2} (x)

tan^{2} (y) + 1 = cos^{2} (y)

4 sin (2 x) + csc (2 x) = 4

What is the general solution for (sin(40))/8 =(sin(65.38))/(sin(x)) ?
The general solution for (sin(40))/8 =(sin(65.38))/(sin(x)) is No Solution for x\in\mathbb{R}