What is the general solution for cos(x)= 4/30 ?

The general solution for cos(x)= 4/30 is x=1.43706…+2pin,x=2pi-1.43706…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)= 4/30

cos (x) = \frac{4}{30}

x = 1.43706 \dots + 2 πn, x = 2 π - 1.43706 \dots + 2 πn

Degrees

x = 82.33774 \dots^{\circ} + 36 0^{\circ} n, x = 277.66225 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{4}{30}

Cancel the common factor:

2

cos (x) = \frac{2}{15}

Apply trig inverse properties

cos (x) = \frac{2}{15}

General solutions for

cos (x) = \frac{2}{15}

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

x = arccos (\frac{2}{15}) + 2 πn, x = 2 π - arccos (\frac{2}{15}) + 2 πn

x = arccos (\frac{2}{15}) + 2 πn, x = 2 π - arccos (\frac{2}{15}) + 2 πn

Show solutions in decimal form

x = 1.43706 \dots + 2 πn, x = 2 π - 1.43706 \dots + 2 πn

t, x = sin (2 t) + 1

cos (x) = \frac{4}{35}

tan (x) = \frac{11}{13}

0.04 = 0.08 sin (x)

tan (x) = \frac{11}{18}

What is the general solution for cos(x)= 4/30 ?
The general solution for cos(x)= 4/30 is x=1.43706…+2pin,x=2pi-1.43706…+2pin