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

The general solution for cos(x)=(2sqrt(5))/5 is x=0.46364…+2pin,x=2pi-0.46364…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)=(2sqrt(5))/5

cos (x) = \frac{2 5}{5}

x = 0.46364 \dots + 2 πn, x = 2 π - 0.46364 \dots + 2 πn

Solution steps

cos (x) = \frac{2 5}{5}

Apply trig inverse properties

x = arccos (\frac{2 5}{5}) + 2 πn, x = 2 π - arccos (\frac{2 5}{5}) + 2 πn

Show solutions in decimal form

x = 0.46364 \dots + 2 πn, x = 2 π - 0.46364 \dots + 2 πn

csc (x) = cot (x) - 1

2 cos (θ) + 1 = sec (θ)

tan (θ) = - \frac{2}{2}

tan (θ) = - \frac{2}{3}

sin^{2} (θ) - sin (θ) - 2 = 0

What is the general solution for cos(x)=(2sqrt(5))/5 ?
The general solution for cos(x)=(2sqrt(5))/5 is x=0.46364…+2pin,x=2pi-0.46364…+2pin