What is the general solution for cos(θ)= 2/5 ?

The general solution for cos(θ)= 2/5 is θ=1.15927…+2pin,θ=2pi-1.15927…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)= 2/5

cos (θ) = \frac{2}{5}

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

Degrees

θ = 66.42182 \dots^{\circ} + 36 0^{\circ} n, θ = 293.57817 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = \frac{2}{5}

Apply trig inverse properties

cos (θ) = \frac{2}{5}

General solutions for

cos (θ) = \frac{2}{5}

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

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

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

Show solutions in decimal form

θ = 1.15927 \dots + 2 πn, θ = 2 π - 1.15927 \dots + 2 πn

2 cos^{2} (x) = cos (x)

sin (y) = 0

10 sin^{2} (x) = 10 + 5 cos (x)

tan (θ) = \frac{3}{2}

sin (x) + 3 cos (x) = 0

What is the general solution for cos(θ)= 2/5 ?
The general solution for cos(θ)= 2/5 is θ=1.15927…+2pin,θ=2pi-1.15927…+2pin