What is the general solution for sqrt(3)tan(θ)-2sin(θ)tan(θ)=0 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(3)tan(θ)-2sin(θ)tan(θ)=0

3 tan (θ) - 2 sin (θ) tan (θ) = 0

θ = πn, θ = \frac{π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn

Solution steps

3 tan (θ) - 2 sin (θ) tan (θ) = 0

Factor

3 tan (θ) - 2 sin (θ) tan (θ) : tan (θ) (3 - 2 sin (θ))

tan (θ) (3 - 2 sin (θ)) = 0

Solving each part separately

tan (θ) = 0 or 3 - 2 sin (θ) = 0

tan (θ) = 0 : θ = πn

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

Combine all the solutions

θ = πn, θ = \frac{π}{3} + 2 πn, θ = \frac{2 π}{3} + 2 πn

\frac{sin ( 2 x )}{sin ( x )} = 1.5

x, yz = sin (x y)

sin^{2} (x) = \frac{( 5 m - 5 )}{2}

2 cot (2 x) = 4

cos (θ) = \frac{4}{3.3 8 ^{2} + 2 ^{2}}

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