What is the general solution for cos(θ)=(1/4) ?

The general solution for cos(θ)=(1/4) is θ=1.31811…+2pin,θ=2pi-1.31811…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)=(1/4)

cos (θ) = (\frac{1}{4})

θ = 1.31811 \dots + 2 πn, θ = 2 π - 1.31811 \dots + 2 πn

Solution steps

cos (θ) = (\frac{1}{4})

Apply trig inverse properties

θ = arccos (\frac{1}{4}) + 2 πn, θ = 2 π - arccos (\frac{1}{4}) + 2 πn

Show solutions in decimal form

θ = 1.31811 \dots + 2 πn, θ = 2 π - 1.31811 \dots + 2 πn

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

\frac{36}{sin ( 11 0 ^{\circ} )} = \frac{15}{sin ( x )}

6 sin (\frac{x}{2}) + 6 cos (x) = 0

cos (x) = 0.925

(sin (x) + 1) (2 sin^{2} (x) - 3 sin (x) - 2) = 0

What is the general solution for cos(θ)=(1/4) ?
The general solution for cos(θ)=(1/4) is θ=1.31811…+2pin,θ=2pi-1.31811…+2pin