What is the general solution for cos(θ)=0.5678 ?

The general solution for cos(θ)=0.5678 is θ=0.96696…+2pin,θ=2pi-0.96696…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)=0.5678

cos (θ) = 0.5678

θ = 0.96696 \dots + 2 πn, θ = 2 π - 0.96696 \dots + 2 πn

Degrees

θ = 55.40304 \dots^{\circ} + 36 0^{\circ} n, θ = 304.59695 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (θ) = 0.5678

Apply trig inverse properties

cos (θ) = 0.5678

General solutions for

cos (θ) = 0.5678

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

θ = arccos (0.5678) + 2 πn, θ = 2 π - arccos (0.5678) + 2 πn

θ = arccos (0.5678) + 2 πn, θ = 2 π - arccos (0.5678) + 2 πn

Show solutions in decimal form

θ = 0.96696 \dots + 2 πn, θ = 2 π - 0.96696 \dots + 2 πn

1 = cos (2 x)

tan (x) = 2 cos (x) tan (x)

tan (θ) = 2.6

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

sin (θ) = \frac{8}{17}

What is the general solution for cos(θ)=0.5678 ?
The general solution for cos(θ)=0.5678 is θ=0.96696…+2pin,θ=2pi-0.96696…+2pin