What is the general solution for cos(θ)=-1/6 ?

The general solution for cos(θ)=-1/6 is θ=1.73824…+2pin,θ=-1.73824…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)=-1/6

cos (θ) = - \frac{1}{6}

θ = 1.73824 \dots + 2 πn, θ = - 1.73824 \dots + 2 πn

Degrees

θ = 99.59406 \dots^{\circ} + 36 0^{\circ} n, θ = - 99.59406 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = - \frac{1}{6}

Apply trig inverse properties

cos (θ) = - \frac{1}{6}

General solutions for

cos (θ) = - \frac{1}{6}

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

θ = arccos (- \frac{1}{6}) + 2 πn, θ = - arccos (- \frac{1}{6}) + 2 πn

θ = arccos (- \frac{1}{6}) + 2 πn, θ = - arccos (- \frac{1}{6}) + 2 πn

Show solutions in decimal form

θ = 1.73824 \dots + 2 πn, θ = - 1.73824 \dots + 2 πn

arcsin (x) = 1

sin (θ) = \frac{5}{3}

cos (\frac{3 x}{2}) = 0

sec (x) + 1 = tan (x)

2 sin^{2} (x) + 5 sin (x) + 2 = 0

What is the general solution for cos(θ)=-1/6 ?
The general solution for cos(θ)=-1/6 is θ=1.73824…+2pin,θ=-1.73824…+2pin