What is the general solution for cos(x)= 5/8 ?

The general solution for cos(x)= 5/8 is x=0.89566…+2pin,x=2pi-0.89566…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(x)= 5/8

cos (x) = \frac{5}{8}

x = 0.89566 \dots + 2 πn, x = 2 π - 0.89566 \dots + 2 πn

Degrees

x = 51.31781 \dots^{\circ} + 36 0^{\circ} n, x = 308.68218 \dots^{\circ} + 36 0^{\circ} n

Solution steps

cos (x) = \frac{5}{8}

Apply trig inverse properties

cos (x) = \frac{5}{8}

General solutions for

cos (x) = \frac{5}{8}

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

x = arccos (\frac{5}{8}) + 2 πn, x = 2 π - arccos (\frac{5}{8}) + 2 πn

x = arccos (\frac{5}{8}) + 2 πn, x = 2 π - arccos (\frac{5}{8}) + 2 πn

Show solutions in decimal form

x = 0.89566 \dots + 2 πn, x = 2 π - 0.89566 \dots + 2 πn

tan (x) = cos (x)

cot (3 x) = 1

2 cos^{2} (t) - cos (t) = 0

0 = sin (x) + cos (x)

sec (x) tan (x) = 2

What is the general solution for cos(x)= 5/8 ?
The general solution for cos(x)= 5/8 is x=0.89566…+2pin,x=2pi-0.89566…+2pin