What is the general solution for 5/(csc(x))-5sqrt(3)cos(x)=0 ?

The general solution for 5/(csc(x))-5sqrt(3)cos(x)=0 is x= pi/3+pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5/(csc(x))-5sqrt(3)cos(x)=0

\frac{5}{csc ( x )} - 53 cos (x) = 0

x = \frac{π}{3} + πn

Solution steps

\frac{5}{csc ( x )} - 53 cos (x) = 0

Simplify

\frac{5}{csc ( x )} - 53 cos (x) : \frac{5 - 5 3 cos ( x ) csc ( x )}{csc ( x )}

\frac{5 - 5 3 cos ( x ) csc ( x )}{csc ( x )} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

5 - 53 cos (x) csc (x) = 0

Rewrite using trig identities

5 - 53 cot (x) = 0

Move

5

to the right side

- 53 cot (x) = - 5

Divide both sides by

- 53

cot (x) = \frac{3}{3}

General solutions for

cot (x) = \frac{3}{3}

x = \frac{π}{3} + πn

tan (2 y) = 1

(- 6 cos (x) + 2 sin (x))^{2} + 32 sin^{2} (x) = 48

tan (x) + 5 = \frac{15 - 3}{3}

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

tan (x) csc (x) - 2 tan (x) = 3 csc (x) - 6

What is the general solution for 5/(csc(x))-5sqrt(3)cos(x)=0 ?
The general solution for 5/(csc(x))-5sqrt(3)cos(x)=0 is x= pi/3+pin