What is the general solution for sin(x)= 11/61 ?

The general solution for sin(x)= 11/61 is x=0.18131…+2pin,x=pi-0.18131…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(x)= 11/61

sin (x) = \frac{11}{61}

x = 0.18131 \dots + 2 πn, x = π - 0.18131 \dots + 2 πn

Solution steps

sin (x) = \frac{11}{61}

Apply trig inverse properties

x = arcsin (\frac{11}{61}) + 2 πn, x = π - arcsin (\frac{11}{61}) + 2 πn

Show solutions in decimal form

x = 0.18131 \dots + 2 πn, x = π - 0.18131 \dots + 2 πn

sin^{3} (x) = - sin^{2} (x)

cos (θ) = \frac{4}{5}, sin (θ)

3 cos (2 θ) - 3 cos (θ) + 3 = 4 cos (θ) + 10

cos (x) = \frac{1}{18}

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

What is the general solution for sin(x)= 11/61 ?
The general solution for sin(x)= 11/61 is x=0.18131…+2pin,x=pi-0.18131…+2pin