What is the general solution for 30cos(30x)+14=-16 ?

The general solution for 30cos(30x)+14=-16 is x= pi/(30)+(pin)/(15)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

30cos(30x)+14=-16

30 cos (30 x) + 14 = - 16

x = \frac{π}{30} + \frac{πn}{15}

Degrees

x = 6^{\circ} + 1 2^{\circ} n

Solution steps

30 cos (30 x) + 14 = - 16

Move

14

to the right side

30 cos (30 x) + 14 = - 16

Subtract

14

from both sides

30 cos (30 x) + 14 - 14 = - 16 - 14

Simplify

30 cos (30 x) = - 30

30 cos (30 x) = - 30

Divide both sides by

30

30 cos (30 x) = - 30

Divide both sides by

30

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

Simplify

cos (30 x) = - 1

cos (30 x) = - 1

General solutions for

cos (30 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}

30 x = π + 2 πn

30 x = π + 2 πn

Solve

30 x = π + 2 πn : x = \frac{π}{30} + \frac{πn}{15}

30 x = π + 2 πn

Divide both sides by

30

30 x = π + 2 πn

Divide both sides by

30

\frac{30 x}{30} = \frac{π}{30} + \frac{2 πn}{30}

Simplify

x = \frac{π}{30} + \frac{πn}{15}

x = \frac{π}{30} + \frac{πn}{15}

x = \frac{π}{30} + \frac{πn}{15}

x, cot (- x) cos (- x) + sin (- x) = - \frac{1}{f}

cos (x) = - \frac{2}{3}

10 cos^{2} (x) + 5 cos (x) - 5 = 0

2 sin (x) = - 3

3 sec (θ) - 2 = 0

What is the general solution for 30cos(30x)+14=-16 ?
The general solution for 30cos(30x)+14=-16 is x= pi/(30)+(pin)/(15)