What is the general solution for sin(x)= 8/12 ?

The general solution for sin(x)= 8/12 is x=0.72972…+2pin,x=pi-0.72972…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 8/12

sin (x) = \frac{8}{12}

x = 0.72972 \dots + 2 πn, x = π - 0.72972 \dots + 2 πn

Solution steps

sin (x) = \frac{8}{12}

Cancel the common factor:

4

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

Apply trig inverse properties

x = arcsin (\frac{2}{3}) + 2 πn, x = π - arcsin (\frac{2}{3}) + 2 πn

Show solutions in decimal form

x = 0.72972 \dots + 2 πn, x = π - 0.72972 \dots + 2 πn

2 cos (θ) sin (θ) + 3 cos (θ) = 0

2 - 2 sin (θ) = 4

(sin (x))^{2} = 0

tan^{2} (x) sin (x) - \frac{sin ( x )}{3} = 0

cot^{2} (a) = cos^{2} (a) (cot (a) cos (a))^{2}

What is the general solution for sin(x)= 8/12 ?
The general solution for sin(x)= 8/12 is x=0.72972…+2pin,x=pi-0.72972…+2pin