What is the general solution for sin(θ)= 3/10 ?

The general solution for sin(θ)= 3/10 is θ=0.30469…+2pin,θ=pi-0.30469…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(θ)= 3/10

sin (θ) = \frac{3}{10}

θ = 0.30469 \dots + 2 πn, θ = π - 0.30469 \dots + 2 πn

Solution steps

sin (θ) = \frac{3}{10}

Apply trig inverse properties

θ = arcsin (\frac{3}{10}) + 2 πn, θ = π - arcsin (\frac{3}{10}) + 2 πn

Show solutions in decimal form

θ = 0.30469 \dots + 2 πn, θ = π - 0.30469 \dots + 2 πn

30 arctan (x) = 5 π

cosh (2 x) - 10 cosh (x) + 13 = 0

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

7 cos^{2} (x) + 14 cos (x) + 7 = 0

θ, 2 sin (θ) = 2 cos (2 θ)

What is the general solution for sin(θ)= 3/10 ?
The general solution for sin(θ)= 3/10 is θ=0.30469…+2pin,θ=pi-0.30469…+2pin