tan theta = 3tan theta find to the nearest degree all values of Theta in the interval 0 degrees less than or equal to theta ,less than or equal to 360 degrees

Question

tanθ = 3tanθ find to the nearest degree all values of θ in the interval 0 degrees less than or equal to θ ,less than or equal to 360 degrees

Answer 1

tan(θ) = 3 tan(θ), 0° ≤ θ ≤ 360°

 

Solve for θ to the nearest degree.

 

tan(θ) = 3 tan(θ)

 

Subtract tan(θ) from both sides:

 

0 = 2 tan(θ)

 

Divide by 2 both sides:

 

tan(θ) = 0

 

If (x,y) is a point on the terminal ray of θ,

 

then tan(θ) = y/x = 0, and y = 0.

 

y = 0 ==> θ = 0°, 180°, or 360° in the interval 0° ≤ θ ≤ 360°.