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Which of the following statements shows how to calculate the reference angle for theta equals 11 pi over 6?

A. Pi - 0
B. 0 - pi
C. pi - 0

1 Answer

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Final answer:

The reference angle for θ = 11π/6 is calculated by subtracting the angle from 2π, resulting in π/6 radians as the reference angle.

Step-by-step explanation:

To calculate the reference angle for θ equals 11π over 6, you need to understand that the reference angle is the acute angle that the given angle makes with the x-axis. Since 11π/6 radians is just shy of 2π (or a full circle), which is equivalent to 360 degrees, the reference angle is found by subtracting this angle from 2π.

The correct computation for the reference angle of θ = 11π/6 is therefore:

2π - (11π/6)

Simplifying this expression:

12π/6 - 11π/6 = π/6

Thus, the reference angle is π/6 radians.

User TheStoneFox
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