What is the general solution for (11)/(sin(90))=(10)/(sin(x)) ?

The general solution for (11)/(sin(90))=(10)/(sin(x)) is x=1.14109…+360n,x=180-1.14109…+360n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(11)/(sin(90))=(10)/(sin(x))

\frac{11}{sin ( 9 0 ^{\circ} )} = \frac{10}{sin ( x )}

x = 1.14109 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.14109 \dots + 36 0^{\circ} n

Solution steps

\frac{11}{sin ( 9 0 ^{\circ} )} = \frac{10}{sin ( x )}

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

\frac{11}{1} = \frac{10}{sin ( x )}

Cross multiply

11 sin (x) = 10

Divide both sides by

11

sin (x) = \frac{10}{11}

Verify Solutions

Find undefined (singularity) points:

sin (x) = 0

Combine undefined points with solutions:

sin (x) = \frac{10}{11}

Apply trig inverse properties

x = arcsin (\frac{10}{11}) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (\frac{10}{11}) + 36 0^{\circ} n

Show solutions in decimal form

x = 1.14109 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.14109 \dots + 36 0^{\circ} n

2 sec^{2} (x) + 4 tan (x) = 1

8 sin (\frac{3.14}{4 \cdot x}) = 7

cos (3 x) - 21 cos (x) + 16 = 0

sin^{5} (x) - sin (x) = 0

tan (x) = \frac{95.75}{4}

What is the general solution for (11)/(sin(90))=(10)/(sin(x)) ?
The general solution for (11)/(sin(90))=(10)/(sin(x)) is x=1.14109…+360n,x=180-1.14109…+360n