What is the general solution for sin(θ)= 5/7 ?

The general solution for sin(θ)= 5/7 is θ=0.79560…+2pin,θ=pi-0.79560…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(θ)= 5/7

sin (θ) = \frac{5}{7}

θ = 0.79560 \dots + 2 πn, θ = π - 0.79560 \dots + 2 πn

Degrees

θ = 45.58469 \dots^{\circ} + 36 0^{\circ} n, θ = 134.41530 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{5}{7}

Apply trig inverse properties

sin (θ) = \frac{5}{7}

General solutions for

sin (θ) = \frac{5}{7}

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

θ = arcsin (\frac{5}{7}) + 2 πn, θ = π - arcsin (\frac{5}{7}) + 2 πn

θ = arcsin (\frac{5}{7}) + 2 πn, θ = π - arcsin (\frac{5}{7}) + 2 πn

Show solutions in decimal form

θ = 0.79560 \dots + 2 πn, θ = π - 0.79560 \dots + 2 πn

8 sin^{2} (x) + 2 sin (x) - 1 = 0

2 sin^{2} (x) = 5 sin (x) - 3

cos (x) cos (3 x) = sin (x) sin (3 x)

sec (3 x) = \frac{2}{3}

sin^{2} (x) - 8 cos (x) - 8 = 0

What is the general solution for sin(θ)= 5/7 ?
The general solution for sin(θ)= 5/7 is θ=0.79560…+2pin,θ=pi-0.79560…+2pin