Question

What values for θ (0 ≤ θ ≤ 2pi) satisfy the equation?

2 sin θ cos θ + Start Root 3 End Root cos θ = 0
(1 point)
Responses

Start Fraction pi over 2 End Fraction comma Start Fraction 4 pi over 3 End Fraction comma Start Fraction 3 pi over 2 End Fraction comma Start Fraction 5 pi over 3 End Fraction
Image with alt text: Start Fraction pi over 2 End Fraction comma Start Fraction 4 pi over 3 End Fraction comma Start Fraction 3 pi over 2 End Fraction comma Start Fraction 5 pi over 3 End Fraction

Start Fraction pi over 2 End Fraction comma Start Fraction 3 pi over 4 End Fraction comma Start Fraction 3 pi over 2 End Fraction comma Start Fraction 5 pi over 3 End Fraction
Image with alt text: Start Fraction pi over 2 End Fraction comma Start Fraction 3 pi over 4 End Fraction comma Start Fraction 3 pi over 2 End Fraction comma Start Fraction 5 pi over 3 End Fraction

Start Fraction pi over 2 End Fraction comma Start Fraction 3 pi over 4 End Fraction comma Start Fraction 3 pi over 2 End Fraction comma Start Fraction 5 pi over 4 End Fraction
Image with alt text: Start Fraction pi over 2 End Fraction comma Start Fraction 3 pi over 4 End Fraction comma Start Fraction 3 pi over 2 End Fraction comma Start Fraction 5 pi over 4 End Fraction

Start Fraction pi over 2 End Fraction comma Start Fraction pi over 4 End Fraction comma Start Fraction 3 pi over 2 End Fraction comma Start Fraction 5 pi over 3 End Fraction

Answer 1

[AI-generated answer — Bot GPT 3.5]

The values for θ that satisfy the equation are:

π/2, 3π/4, 3π/2, 5π/3