Determine exact values of θ if 0 ≤ θ ≤ 2π given that tanθ = -3. Explain your process.
emonemo1738:
tanθ = - root3
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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)
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