What is the general solution for cos(θ)=(2sqrt(5))/(sqrt(58)) ?

The general solution for cos(θ)=(2sqrt(5))/(sqrt(58)) is θ=0.94317…+2pin,θ=2pi-0.94317…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(θ)=(2sqrt(5))/(sqrt(58))

cos (θ) = \frac{2 5}{58}

θ = 0.94317 \dots + 2 πn, θ = 2 π - 0.94317 \dots + 2 πn

Solution steps

cos (θ) = \frac{2 5}{58}

Simplify

\frac{2 5}{58} : \frac{10}{29}

Apply trig inverse properties

θ = arccos (\frac{10}{29}) + 2 πn, θ = 2 π - arccos (\frac{10}{29}) + 2 πn

Show solutions in decimal form

θ = 0.94317 \dots + 2 πn, θ = 2 π - 0.94317 \dots + 2 πn

tan (θ) = \frac{m ^{2} - m ^{1}}{1 + m ^{2} \cdot m ^{1}}, m^{2}

0 = - 1 - tan^{2} (θ) + 2 tan (θ)

u, x = tanh (u)

3 + 2 cos (x) = 0

2 cos^{2} (θ) - 7 cos (θ) = - 3

What is the general solution for cos(θ)=(2sqrt(5))/(sqrt(58)) ?
The general solution for cos(θ)=(2sqrt(5))/(sqrt(58)) is θ=0.94317…+2pin,θ=2pi-0.94317…+2pin