What is the general solution for cos(θ)= 2/3 ?

The general solution for cos(θ)= 2/3 is θ=0.84106…+2pin,θ=2pi-0.84106…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)= 2/3

cos (θ) = \frac{2}{3}

θ = 0.84106 \dots + 2 πn, θ = 2 π - 0.84106 \dots + 2 πn

Degrees

θ = 48.18968 \dots^{\circ} + 36 0^{\circ} n, θ = 311.81031 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{2}{3}

Apply trig inverse properties

cos (θ) = \frac{2}{3}

General solutions for

cos (θ) = \frac{2}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

θ = arccos (\frac{2}{3}) + 2 πn, θ = 2 π - arccos (\frac{2}{3}) + 2 πn

θ = arccos (\frac{2}{3}) + 2 πn, θ = 2 π - arccos (\frac{2}{3}) + 2 πn

Show solutions in decimal form

θ = 0.84106 \dots + 2 πn, θ = 2 π - 0.84106 \dots + 2 πn

0 = cos (x)

tan (θ) = 3

sin (x) = \frac{5}{13}

2 sin (θ) = 3

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

What is the general solution for cos(θ)= 2/3 ?
The general solution for cos(θ)= 2/3 is θ=0.84106…+2pin,θ=2pi-0.84106…+2pin