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

The general solution for sin(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 >

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

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

x = πn

Degrees

x = 0^{\circ} + 18 0^{\circ} n

Solution steps

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

Factor

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

sin (x) tan (x) + 3 tan (x)

Factor out common term

tan (x)

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

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

Solving each part separately

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

tan (x) = 0 : x = πn

tan (x) = 0

General solutions for

tan (x) = 0

tan (x)

periodicity table with

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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x = 0 + πn

x = 0 + πn

Solve

x = 0 + πn : x = πn

x = 0 + πn

0 + πn = πn

x = πn

x = πn

sin (x) + 3 = 0 :

No Solution

sin (x) + 3 = 0

Move

3

to the right side

sin (x) + 3 = 0

Subtract

3

from both sides

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

Simplify

sin (x) = - 3

sin (x) = - 3

- 1 \leq sin (x) \leq 1

No Solution

Combine all the solutions

x = πn

sin^{2} (\frac{x}{2}) = 0

tan (t) = 2

- 120 = - 90 - arctan (0.1) + arctan (0.1 x)

3 tan (x) = 0

2 sin^{2} (x) - 15 sin (x) + 7 = 0

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