What is the general solution for cos(θ)=0.625 ?

The general solution for cos(θ)=0.625 is θ=0.89566…+2pin,θ=2pi-0.89566…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)=0.625

cos (θ) = 0.625

θ = 0.89566 \dots + 2 πn, θ = 2 π - 0.89566 \dots + 2 πn

Degrees

θ = 51.31781 \dots^{\circ} + 36 0^{\circ} n, θ = 308.68218 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.625

Apply trig inverse properties

cos (θ) = 0.625

General solutions for

cos (θ) = 0.625

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

θ = arccos (0.625) + 2 πn, θ = 2 π - arccos (0.625) + 2 πn

θ = arccos (0.625) + 2 πn, θ = 2 π - arccos (0.625) + 2 πn

Show solutions in decimal form

θ = 0.89566 \dots + 2 πn, θ = 2 π - 0.89566 \dots + 2 πn

x, sin (x) = 3 cos (x)

x, 1.12 = 0.04 sin (x)

sin (2 x) = - 0.8

cos (2 x - \frac{π}{5}) = 0

cos (a) = sin (a + 3 0^{\circ})

What is the general solution for cos(θ)=0.625 ?
The general solution for cos(θ)=0.625 is θ=0.89566…+2pin,θ=2pi-0.89566…+2pin