What is the general solution for (sin(170))/8 =(sin(B))/5 ?

The general solution for (sin(170))/8 =(sin(B))/5 is B=0.10874…+360n,B=180-0.10874…+360n

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sin(170))/8 =(sin(B))/5

\frac{sin ( 17 0 ^{\circ} )}{8} = \frac{sin ( B )}{5}

B = 0.10874 \dots + 36 0^{\circ} n, B = 18 0^{\circ} - 0.10874 \dots + 36 0^{\circ} n

Solution steps

\frac{sin ( 17 0 ^{\circ} )}{8} = \frac{sin ( B )}{5}

Switch sides

\frac{sin ( B )}{5} = \frac{sin ( 17 0 ^{\circ} )}{8}

Multiply both sides by

5

sin (B) = \frac{5 sin ( 17 0 ^{\circ} )}{8}

Apply trig inverse properties

B = arcsin (\frac{5 sin ( 17 0 ^{\circ} )}{8}) + 36 0^{\circ} n, B = 18 0^{\circ} - arcsin (\frac{5 sin ( 17 0 ^{\circ} )}{8}) + 36 0^{\circ} n

Show solutions in decimal form

B = 0.10874 \dots + 36 0^{\circ} n, B = 18 0^{\circ} - 0.10874 \dots + 36 0^{\circ} n

tan (x) = 0.01096

3 - 2 csc (x) = 17

2 sin (x) - 1 = 0.5

(2 cos (x) - 1) (2 sin (x) + 1) = 0

sin (θ) = \frac{1}{2}, θ

What is the general solution for (sin(170))/8 =(sin(B))/5 ?
The general solution for (sin(170))/8 =(sin(B))/5 is B=0.10874…+360n,B=180-0.10874…+360n