What is the general solution for sin(θ)=(2sqrt(13))/(13) ?

The general solution for sin(θ)=(2sqrt(13))/(13) is θ=0.58800…+2pin,θ=pi-0.58800…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sin(θ)=(2sqrt(13))/(13)

sin (θ) = \frac{2 13}{13}

θ = 0.58800 \dots + 2 πn, θ = π - 0.58800 \dots + 2 πn

Degrees

θ = 33.69006 \dots^{\circ} + 36 0^{\circ} n, θ = 146.30993 \dots^{\circ} + 36 0^{\circ} n

Solution steps

sin (θ) = \frac{2 13}{13}

Apply trig inverse properties

sin (θ) = \frac{2 13}{13}

General solutions for

sin (θ) = \frac{2 13}{13}

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

θ = arcsin (\frac{2 13}{13}) + 2 πn, θ = π - arcsin (\frac{2 13}{13}) + 2 πn

θ = arcsin (\frac{2 13}{13}) + 2 πn, θ = π - arcsin (\frac{2 13}{13}) + 2 πn

Show solutions in decimal form

θ = 0.58800 \dots + 2 πn, θ = π - 0.58800 \dots + 2 πn

2 tan^{2} (θ) + sec (θ) = 1

0 = 2 cos (3 x)

cos (t) = sin (t)

2 cos (3 x) = 0

16 cos^{2} (θ) - 2 = 0

What is the general solution for sin(θ)=(2sqrt(13))/(13) ?
The general solution for sin(θ)=(2sqrt(13))/(13) is θ=0.58800…+2pin,θ=pi-0.58800…+2pin