What is the general solution for sin(θ)= 8/15 ?

The general solution for sin(θ)= 8/15 is θ=0.56253…+2pin,θ=pi-0.56253…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(θ)= 8/15

sin (θ) = \frac{8}{15}

θ = 0.56253 \dots + 2 πn, θ = π - 0.56253 \dots + 2 πn

Solution steps

sin (θ) = \frac{8}{15}

Apply trig inverse properties

θ = arcsin (\frac{8}{15}) + 2 πn, θ = π - arcsin (\frac{8}{15}) + 2 πn

Show solutions in decimal form

θ = 0.56253 \dots + 2 πn, θ = π - 0.56253 \dots + 2 πn

cos (x) cot (x) cos (x) = 0, 0 \leq x \leq 2 π

0 = cos^{2} (x)

3 cos (θ) = - 3 sin (- θ)

3 sec (x) - 6 = 0

sin (2 x) = \frac{1}{3}

What is the general solution for sin(θ)= 8/15 ?
The general solution for sin(θ)= 8/15 is θ=0.56253…+2pin,θ=pi-0.56253…+2pin