What is the general solution for 5sin(x)tan(x)-4tan(x)=0 ?

The general solution for 5sin(x)tan(x)-4tan(x)=0 is x=pin,x=0.92729…+2pin,x=pi-0.92729…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5sin(x)tan(x)-4tan(x)=0

5 sin (x) tan (x) - 4 tan (x) = 0

x = πn, x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

Solution steps

5 sin (x) tan (x) - 4 tan (x) = 0

Factor

5 sin (x) tan (x) - 4 tan (x) : tan (x) (5 sin (x) - 4)

tan (x) (5 sin (x) - 4) = 0

Solving each part separately

tan (x) = 0 or 5 sin (x) - 4 = 0

tan (x) = 0 : x = πn

5 sin (x) - 4 = 0 : x = arcsin (\frac{4}{5}) + 2 πn, x = π - arcsin (\frac{4}{5}) + 2 πn

Combine all the solutions

x = πn, x = arcsin (\frac{4}{5}) + 2 πn, x = π - arcsin (\frac{4}{5}) + 2 πn

Show solutions in decimal form

x = πn, x = 0.92729 \dots + 2 πn, x = π - 0.92729 \dots + 2 πn

5 cos (5 x) = 0

7 cos (x) - 7 sin (x) = 0

9 sin (x) cos (x) = 5 cos (x)

3 cos (x) sin (x) = - sin (x)

4 cos (10 x) + 2 = 2

What is the general solution for 5sin(x)tan(x)-4tan(x)=0 ?
The general solution for 5sin(x)tan(x)-4tan(x)=0 is x=pin,x=0.92729…+2pin,x=pi-0.92729…+2pin