What is the general solution for 0=(110cos(377t))/8 ?

The general solution for 0=(110cos(377t))/8 is t= pi/(754)+(2pin)/(377),t=(3pi)/(754)+(2pin)/(377)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

0=(110cos(377t))/8

Solution

0 = \frac{110 cos ( 377 t )}{8}

Solution

t = \frac{π}{754} + \frac{2 πn}{377}, t = \frac{3 π}{754} + \frac{2 πn}{377}

Degrees

t = 0.23872 \dots^{\circ} + 0.95490 \dots^{\circ} n, t = 0.71618 \dots^{\circ} + 0.95490 \dots^{\circ} n

Solution steps

0 = \frac{110 cos ( 377 t )}{8}

Switch sides

\frac{110 cos ( 377 t )}{8} = 0

Multiply both sides by

8

\frac{110 cos ( 377 t )}{8} = 0

Multiply both sides by

8

\frac{8 \cdot 110 cos ( 377 t )}{8} = 0 \cdot 8

Simplify

110 cos (377 t) = 0

110 cos (377 t) = 0

Divide both sides by

110

110 cos (377 t) = 0

Divide both sides by

110

\frac{110 cos ( 377 t )}{110} = \frac{0}{110}

Simplify

cos (377 t) = 0

cos (377 t) = 0

General solutions for

cos (377 t) = 0

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}

377 t = \frac{π}{2} + 2 πn, 377 t = \frac{3 π}{2} + 2 πn

377 t = \frac{π}{2} + 2 πn, 377 t = \frac{3 π}{2} + 2 πn

Solve

377 t = \frac{π}{2} + 2 πn : t = \frac{π}{754} + \frac{2 πn}{377}

377 t = \frac{π}{2} + 2 πn

Divide both sides by

377

377 t = \frac{π}{2} + 2 πn

Divide both sides by

377

\frac{377 t}{377} = \frac{\frac{π}{2}}{377} + \frac{2 πn}{377}

Simplify

\frac{377 t}{377} = \frac{\frac{π}{2}}{377} + \frac{2 πn}{377}

Simplify

\frac{377 t}{377} : t

\frac{377 t}{377}

Divide the numbers:

\frac{377}{377} = 1

= t

Simplify

\frac{\frac{π}{2}}{377} + \frac{2 πn}{377} : \frac{π}{754} + \frac{2 πn}{377}

\frac{\frac{π}{2}}{377} + \frac{2 πn}{377}

\frac{\frac{π}{2}}{377} = \frac{π}{754}

\frac{\frac{π}{2}}{377}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{π}{2 \cdot 377}

Multiply the numbers:

2 \cdot 377 = 754

= \frac{π}{754}

= \frac{π}{754} + \frac{2 πn}{377}

t = \frac{π}{754} + \frac{2 πn}{377}

t = \frac{π}{754} + \frac{2 πn}{377}

t = \frac{π}{754} + \frac{2 πn}{377}

Solve

377 t = \frac{3 π}{2} + 2 πn : t = \frac{3 π}{754} + \frac{2 πn}{377}

377 t = \frac{3 π}{2} + 2 πn

Divide both sides by

377

377 t = \frac{3 π}{2} + 2 πn

Divide both sides by

377

\frac{377 t}{377} = \frac{\frac{3 π}{2}}{377} + \frac{2 πn}{377}

Simplify

\frac{377 t}{377} = \frac{\frac{3 π}{2}}{377} + \frac{2 πn}{377}

Simplify

\frac{377 t}{377} : t

\frac{377 t}{377}

Divide the numbers:

\frac{377}{377} = 1

= t

Simplify

\frac{\frac{3 π}{2}}{377} + \frac{2 πn}{377} : \frac{3 π}{754} + \frac{2 πn}{377}

\frac{\frac{3 π}{2}}{377} + \frac{2 πn}{377}

\frac{\frac{3 π}{2}}{377} = \frac{3 π}{754}

\frac{\frac{3 π}{2}}{377}

Apply the fraction rule:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{3 π}{2 \cdot 377}

Multiply the numbers:

2 \cdot 377 = 754

= \frac{3 π}{754}

= \frac{3 π}{754} + \frac{2 πn}{377}

t = \frac{3 π}{754} + \frac{2 πn}{377}

t = \frac{3 π}{754} + \frac{2 πn}{377}

t = \frac{3 π}{754} + \frac{2 πn}{377}

t = \frac{π}{754} + \frac{2 πn}{377}, t = \frac{3 π}{754} + \frac{2 πn}{377}

Popular Examples

sin(2x+3)=0.5

sin (2 x + 3) = 0.5

0=-sin(2x)-sin(x)

0 = - sin (2 x) - sin (x)

solvefor x,4sin(x)cos(x)=1 solve for

x, 4 sin (x) cos (x) = 1

sin(θ)=-sqrt(3)

sin (θ) = - 3

(sin(40))/8 =(sin(x))/(12)

\frac{sin ( 4 0 ^{\circ} )}{8} = \frac{sin ( x )}{12}

Frequently Asked Questions (FAQ)

What is the general solution for 0=(110cos(377t))/8 ?
The general solution for 0=(110cos(377t))/8 is t= pi/(754)+(2pin)/(377),t=(3pi)/(754)+(2pin)/(377)