What is the general solution for cos(θ)=-3/4 ?

The general solution for cos(θ)=-3/4 is θ=2.41885…+2pin,θ=-2.41885…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)=-3/4

cos (θ) = - \frac{3}{4}

θ = 2.41885 \dots + 2 πn, θ = - 2.41885 \dots + 2 πn

Solution steps

cos (θ) = - \frac{3}{4}

Apply trig inverse properties

θ = arccos (- \frac{3}{4}) + 2 πn, θ = - arccos (- \frac{3}{4}) + 2 πn

Show solutions in decimal form

θ = 2.41885 \dots + 2 πn, θ = - 2.41885 \dots + 2 πn

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

sin (θ) = \frac{1}{5}

sin (4 x) = sin (2 x)

cos^{2} (x) = sin^{2} (x) - \frac{2}{2}

cos (2 θ) - sin (θ) = 0

What is the general solution for cos(θ)=-3/4 ?
The general solution for cos(θ)=-3/4 is θ=2.41885…+2pin,θ=-2.41885…+2pin