What is the general solution for cos(5x)=-1 ?

The general solution for cos(5x)=-1 is x= pi/5+(2pin)/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

cos(5x)=-1

cos (5 x) = - 1

x = \frac{π}{5} + \frac{2 πn}{5}

Degrees

x = 3 6^{\circ} + 7 2^{\circ} n

Solution steps

cos (5 x) = - 1

General solutions for

cos (5 x) = - 1

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

5 x = π + 2 πn

5 x = π + 2 πn

Solve

5 x = π + 2 πn : x = \frac{π}{5} + \frac{2 πn}{5}

5 x = π + 2 πn

Divide both sides by

5

5 x = π + 2 πn

Divide both sides by

5

\frac{5 x}{5} = \frac{π}{5} + \frac{2 πn}{5}

Simplify

x = \frac{π}{5} + \frac{2 πn}{5}

x = \frac{π}{5} + \frac{2 πn}{5}

x = \frac{π}{5} + \frac{2 πn}{5}

4 tan (\frac{x}{2}) = 8

tan (x) = \frac{5}{11}

tan (x) = - 4.8764, π < x < \frac{( 3 π )}{2 , cos ( x )}

x, z = tan (x) y

- 6 sin (θ) + 4 = 33 + 4

What is the general solution for cos(5x)=-1 ?
The general solution for cos(5x)=-1 is x= pi/5+(2pin)/5