What is the general solution for tan(θ/5)+sqrt(3)=0 ?

The general solution for tan(θ/5)+sqrt(3)=0 is θ=(10pi)/3+5pin

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(θ/5)+sqrt(3)=0

tan (\frac{θ}{5}) + 3 = 0

θ = \frac{10 π}{3} + 5 πn

Solution steps

tan (\frac{θ}{5}) + 3 = 0

Move

3

to the right side

tan (\frac{θ}{5}) = - 3

General solutions for

tan (\frac{θ}{5}) = - 3

\frac{θ}{5} = \frac{2 π}{3} + πn

Solve

\frac{θ}{5} = \frac{2 π}{3} + πn : θ = \frac{10 π}{3} + 5 πn

θ = \frac{10 π}{3} + 5 πn

3 tan (x) - 3 = 0, 0 \leq x < 2 π

sec^{2} (θ) = 2

sin^{2} (θ) = 8 - 2 cos^{2} (θ)

10 sin (x) + 16 = 3 sin (x) + 9

2 sin (5 θ) = 0

What is the general solution for tan(θ/5)+sqrt(3)=0 ?
The general solution for tan(θ/5)+sqrt(3)=0 is θ=(10pi)/3+5pin