Learn how to evaluate the sine inverse of negative 1 half

The video tutorial explores when the sine of an angle equals -1/2 using the unit circle. It identifies angles with the same reference angle as π/6 and discusses the inverse sine function's restrictions. The tutorial concludes by determining the correct angle within these restrictions, emphasizing the importance of understanding the unit circle and inverse functions.

In which quadrants does the sine of an angle become negative?

• Second and third quadrants

• Third and fourth quadrants

• First and fourth quadrants

• First and second quadrants

Which angles satisfy the condition of sine being -1/2?

• π/6 and 5π/6

• 7π/6 and 11π/6

• π/3 and 2π/3

• π/4 and 3π/4

Why can't the angles 7π/6 and 11π/6 be used in the inverse sine function?

• They are not in the unit circle

• They are not reference angles

• They are outside the range of the inverse sine function

• They are not real numbers

What is the range of angles for the inverse sine function?

• 0 to π

• -π/2 to π/2

• 0 to 2π

• -π to π

What is the sine inverse of -1/2 within the allowed range?

• -π/3

• π/3

• -π/6

• π/6