What is the general solution for 4cot(x)=sqrt(3)csc(x) ?

The general solution for 4cot(x)=sqrt(3)csc(x) is x=1.12296…+2pin,x=2pi-1.12296…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

4cot(x)=sqrt(3)csc(x)

4 cot (x) = 3 csc (x)

x = 1.12296 \dots + 2 πn, x = 2 π - 1.12296 \dots + 2 πn

Solution steps

4 cot (x) = 3 csc (x)

Subtract

3 csc (x)

from both sides

4 cot (x) - 3 csc (x) = 0

Express with sin, cos

\frac{- 3 + 4 cos ( x )}{sin ( x )} = 0

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

- 3 + 4 cos (x) = 0

Move

3

to the right side

4 cos (x) = 3

Divide both sides by

4

cos (x) = \frac{3}{4}

Apply trig inverse properties

x = arccos (\frac{3}{4}) + 2 πn, x = 2 π - arccos (\frac{3}{4}) + 2 πn

Show solutions in decimal form

x = 1.12296 \dots + 2 πn, x = 2 π - 1.12296 \dots + 2 πn

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

sin (θ) = \frac{7}{15}

tan^{2} (y) + 3 = 2 sec^{2} (y)

tan (b + 15) \cdot cot (2 b - 5) = 1

cos (x) = \frac{5}{3}

What is the general solution for 4cot(x)=sqrt(3)csc(x) ?
The general solution for 4cot(x)=sqrt(3)csc(x) is x=1.12296…+2pin,x=2pi-1.12296…+2pin