Question

Determine exact values of ​θ​ if 0​ ≤ θ ≤ 2π​ given that tanθ​ = -3. Explain your process.

Answer 1

Answer:

θ = 2π/3, 5π/6

Step-by-step explanation:

Consider the simple 30, 60, 90 right angled triangle.

The angle that gives a value of Tan( θ) = √3 is 60° or π/3.

But we want Tan(θ) = -√3 so we look at the unit circle and find in which quadrants that triangle and the corresponding angle give us a negative tan(θ)