What is the general solution for 4674.04= 5/(3cos(x))*2804.42 ?

The general solution for 4674.04= 5/(3cos(x))*2804.42 is x=0.00168…+2pin,x=2pi-0.00168…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4674.04= 5/(3cos(x))*2804.42

4674.04 = \frac{5}{3 cos ( x )} \cdot 2804.42

x = 0.00168 \dots + 2 πn, x = 2 π - 0.00168 \dots + 2 πn

Solution steps

4674.04 = \frac{5}{3 cos ( x )} \cdot 2804.42

Switch sides

\frac{5}{3 cos ( x )} \cdot 2804.42 = 4674.04

Multiply both sides by

100

\frac{1402210}{3 cos ( x )} = 467404

Multiply both sides by

cos (x)

\frac{1402210}{3} = 467404 cos (x)

Switch sides

467404 cos (x) = \frac{1402210}{3}

Divide both sides by

467404

cos (x) = \frac{701105}{701106}

Verify Solutions

Find undefined (singularity) points:

cos (x) = 0

Combine undefined points with solutions:

cos (x) = \frac{701105}{701106}

Apply trig inverse properties

x = arccos (\frac{701105}{701106}) + 2 πn, x = 2 π - arccos (\frac{701105}{701106}) + 2 πn

Show solutions in decimal form

x = 0.00168 \dots + 2 πn, x = 2 π - 0.00168 \dots + 2 πn

sin (A) + 3 cos (A) = 0

x, 3 cot (x) - 1 = 0

- sin (x) = 3 cos (x)

cos (2 θ) = sin (θ), 0 \leq θ < 2 π

sin (x) (1 + cos (x)) = sin (x) + cos (x)

What is the general solution for 4674.04= 5/(3cos(x))*2804.42 ?
The general solution for 4674.04= 5/(3cos(x))*2804.42 is x=0.00168…+2pin,x=2pi-0.00168…+2pin