What is the general solution for sin(θ)= 24/25 ?

The general solution for sin(θ)= 24/25 is θ=1.28700…+2pin,θ=pi-1.28700…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(θ)= 24/25

sin (θ) = \frac{24}{25}

θ = 1.28700 \dots + 2 πn, θ = π - 1.28700 \dots + 2 πn

Solution steps

sin (θ) = \frac{24}{25}

Apply trig inverse properties

θ = arcsin (\frac{24}{25}) + 2 πn, θ = π - arcsin (\frac{24}{25}) + 2 πn

Show solutions in decimal form

θ = 1.28700 \dots + 2 πn, θ = π - 1.28700 \dots + 2 πn

sin (2 t) = cos (t)

cos (2 x) + 1 = cos (x)

4 cos (x) + 1 = 0

2 cot^{2} (x) + csc^{2} (x) - 2 = 0

cos^{2} (x) = \frac{1}{2} sin (2 x)

What is the general solution for sin(θ)= 24/25 ?
The general solution for sin(θ)= 24/25 is θ=1.28700…+2pin,θ=pi-1.28700…+2pin