What is the general solution for 9sin(x)tan(x)+4tan(x)=0 ?

The general solution for 9sin(x)tan(x)+4tan(x)=0 is x=pin,x=-0.46055…+2pin,x=pi+0.46055…+2pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

9sin(x)tan(x)+4tan(x)=0

9 sin (x) tan (x) + 4 tan (x) = 0

x = πn, x = - 0.46055 \dots + 2 πn, x = π + 0.46055 \dots + 2 πn

Solution steps

9 sin (x) tan (x) + 4 tan (x) = 0

Factor

9 sin (x) tan (x) + 4 tan (x) : tan (x) (9 sin (x) + 4)

tan (x) (9 sin (x) + 4) = 0

Solving each part separately

tan (x) = 0 or 9 sin (x) + 4 = 0

tan (x) = 0 : x = πn

9 sin (x) + 4 = 0 : x = arcsin (- \frac{4}{9}) + 2 πn, x = π + arcsin (\frac{4}{9}) + 2 πn

Combine all the solutions

x = πn, x = arcsin (- \frac{4}{9}) + 2 πn, x = π + arcsin (\frac{4}{9}) + 2 πn

Show solutions in decimal form

x = πn, x = - 0.46055 \dots + 2 πn, x = π + 0.46055 \dots + 2 πn

x, f [g] = cos (\frac{1}{x ^{2}})

2 cos (\frac{π}{5} θ) = 3

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

sin (x) tan (x) - 6 tan (x) = 0

tan (θ) = sin (θ)

What is the general solution for 9sin(x)tan(x)+4tan(x)=0 ?
The general solution for 9sin(x)tan(x)+4tan(x)=0 is x=pin,x=-0.46055…+2pin,x=pi+0.46055…+2pin