What is the general solution for cos(x)= 60/61 ?

The general solution for cos(x)= 60/61 is x=0.18131…+2pin,x=2pi-0.18131…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

cos(x)= 60/61

cos (x) = \frac{60}{61}

x = 0.18131 \dots + 2 πn, x = 2 π - 0.18131 \dots + 2 πn

Degrees

x = 10.38885 \dots^{\circ} + 36 0^{\circ} n, x = 349.61114 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{60}{61}

Apply trig inverse properties

cos (x) = \frac{60}{61}

General solutions for

cos (x) = \frac{60}{61}

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

x = arccos (\frac{60}{61}) + 2 πn, x = 2 π - arccos (\frac{60}{61}) + 2 πn

x = arccos (\frac{60}{61}) + 2 πn, x = 2 π - arccos (\frac{60}{61}) + 2 πn

Show solutions in decimal form

x = 0.18131 \dots + 2 πn, x = 2 π - 0.18131 \dots + 2 πn

cot (x) = 2

cos (θ) cot (θ) = - cos (θ)

tan (\frac{x}{2}) = - \frac{1}{3}

u, x = 2 cos (u) cos (v)

cos (θ) = cos (3 θ)

What is the general solution for cos(x)= 60/61 ?
The general solution for cos(x)= 60/61 is x=0.18131…+2pin,x=2pi-0.18131…+2pin