What is the general solution for 3sin(x)tan(x)+3tan(x)=0 ?

The general solution for 3sin(x)tan(x)+3tan(x)=0 is x=pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3sin(x)tan(x)+3tan(x)=0

3 sin (x) tan (x) + 3 tan (x) = 0

x = πn

Solution steps

3 sin (x) tan (x) + 3 tan (x) = 0

Factor

3 sin (x) tan (x) + 3 tan (x) : 3 tan (x) (sin (x) + 1)

3 tan (x) (sin (x) + 1) = 0

Solving each part separately

tan (x) = 0 or sin (x) + 1 = 0

tan (x) = 0 : x = πn

sin (x) + 1 = 0 : x = \frac{3 π}{2} + 2 πn

Combine all the solutions

x = πn, x = \frac{3 π}{2} + 2 πn

Since the equation is undefined for:

\frac{3 π}{2} + 2 πn

x = πn

sin^{2} (2 θ) = 1, - 18 0^{\circ} \leq θ \leq 18 0^{\circ}

cos (A) = \frac{1}{3}

100 = \frac{50}{sin ( \frac{x}{2} )}

tan (2 θ) = \frac{- 2}{1 - 1}

3 - 3 cos (x) = 3

What is the general solution for 3sin(x)tan(x)+3tan(x)=0 ?
The general solution for 3sin(x)tan(x)+3tan(x)=0 is x=pin