What is the general solution for sin(θ)= 5/12 ?

The general solution for sin(θ)= 5/12 is θ=0.42977…+2pin,θ=pi-0.42977…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(θ)= 5/12

sin (θ) = \frac{5}{12}

θ = 0.42977 \dots + 2 πn, θ = π - 0.42977 \dots + 2 πn

Degrees

θ = 24.62431 \dots^{\circ} + 36 0^{\circ} n, θ = 155.37568 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{5}{12}

Apply trig inverse properties

sin (θ) = \frac{5}{12}

General solutions for

sin (θ) = \frac{5}{12}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

θ = arcsin (\frac{5}{12}) + 2 πn, θ = π - arcsin (\frac{5}{12}) + 2 πn

θ = arcsin (\frac{5}{12}) + 2 πn, θ = π - arcsin (\frac{5}{12}) + 2 πn

Show solutions in decimal form

θ = 0.42977 \dots + 2 πn, θ = π - 0.42977 \dots + 2 πn

What is the general solution for sin(θ)= 5/12 ?
The general solution for sin(θ)= 5/12 is θ=0.42977…+2pin,θ=pi-0.42977…+2pin