What is the general solution for sin(x)= 9/12 ?

The general solution for sin(x)= 9/12 is x=0.84806…+2pin,x=pi-0.84806…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 9/12

sin (x) = \frac{9}{12}

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

Solution steps

sin (x) = \frac{9}{12}

Cancel the common factor:

3

sin (x) = \frac{3}{4}

Apply trig inverse properties

x = arcsin (\frac{3}{4}) + 2 πn, x = π - arcsin (\frac{3}{4}) + 2 πn

Show solutions in decimal form

x = 0.84806 \dots + 2 πn, x = π - 0.84806 \dots + 2 πn

- 2 cos (x) + 3 sin (x) = 2

cos (x + \frac{π}{6}) - 1 = cos (x - \frac{π}{6})

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

2 sin (θ) = cos (2 θ)

tan (θ) = \frac{4}{- 4}

What is the general solution for sin(x)= 9/12 ?
The general solution for sin(x)= 9/12 is x=0.84806…+2pin,x=pi-0.84806…+2pin