What is the general solution for cos(x)= 5/12 ?

The general solution for cos(x)= 5/12 is x=1.14102…+2pin,x=2pi-1.14102…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

cos(x)= 5/12

cos (x) = \frac{5}{12}

x = 1.14102 \dots + 2 πn, x = 2 π - 1.14102 \dots + 2 πn

Degrees

x = 65.37568 \dots^{\circ} + 36 0^{\circ} n, x = 294.62431 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{5}{12}

Apply trig inverse properties

cos (x) = \frac{5}{12}

General solutions for

cos (x) = \frac{5}{12}

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

x = arccos (\frac{5}{12}) + 2 πn, x = 2 π - arccos (\frac{5}{12}) + 2 πn

x = arccos (\frac{5}{12}) + 2 πn, x = 2 π - arccos (\frac{5}{12}) + 2 πn

Show solutions in decimal form

x = 1.14102 \dots + 2 πn, x = 2 π - 1.14102 \dots + 2 πn

What is the general solution for cos(x)= 5/12 ?
The general solution for cos(x)= 5/12 is x=1.14102…+2pin,x=2pi-1.14102…+2pin