What is the general solution for sin(x)= 7/9 ?

The general solution for sin(x)= 7/9 is x=0.89112…+2pin,x=pi-0.89112…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 7/9

sin (x) = \frac{7}{9}

x = 0.89112 \dots + 2 πn, x = π - 0.89112 \dots + 2 πn

Solution steps

sin (x) = \frac{7}{9}

Apply trig inverse properties

x = arcsin (\frac{7}{9}) + 2 πn, x = π - arcsin (\frac{7}{9}) + 2 πn

Show solutions in decimal form

x = 0.89112 \dots + 2 πn, x = π - 0.89112 \dots + 2 πn

2 cos (t) = 0

10 sin (θ) + 8 = 11

4 cos (2 θ) = 0

\frac{1}{2} = sin (θ)

sin (2 x) - 2 sin (x) = 0

What is the general solution for sin(x)= 7/9 ?
The general solution for sin(x)= 7/9 is x=0.89112…+2pin,x=pi-0.89112…+2pin