What is the general solution for sqrt(2)sin(x)tan(x)-tan(x)=0 ?

The general solution for sqrt(2)sin(x)tan(x)-tan(x)=0 is x=pin,x= pi/4+2pin,x=(3pi)/4+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(2)sin(x)tan(x)-tan(x)=0

2 sin (x) tan (x) - tan (x) = 0

x = πn, x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

Solution steps

2 sin (x) tan (x) - tan (x) = 0

Factor

2 sin (x) tan (x) - tan (x) : tan (x) (2 sin (x) - 1)

tan (x) (2 sin (x) - 1) = 0

Solving each part separately

tan (x) = 0 or 2 sin (x) - 1 = 0

tan (x) = 0 : x = πn

2 sin (x) - 1 = 0 : x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

Combine all the solutions

x = πn, x = \frac{π}{4} + 2 πn, x = \frac{3 π}{4} + 2 πn

sin (x) = sin (3 x)

7 tan (θ) + 5 = 0

sin (x + 4 5^{\circ}) = \frac{3}{2}

tan (\frac{x}{2}) - 3 = 0

5 sin (x) - 3 sin (3 x) = 2 sin (x)

What is the general solution for sqrt(2)sin(x)tan(x)-tan(x)=0 ?
The general solution for sqrt(2)sin(x)tan(x)-tan(x)=0 is x=pin,x= pi/4+2pin,x=(3pi)/4+2pin