How to evaluate the half angle of sine

What is the half-angle identity for sine?

• sin(θ/2) = ±√(1 + cos(θ))/2

• sin(θ/2) = ±√(1 + sin(θ))/2

• sin(θ/2) = ±√(1 - sin(θ))/2

• sin(θ/2) = ±√(1 - cos(θ))/2

If sin(7π/12) is given, what is the value of θ?

• 7π/12

• 7π/6

• π/6

• π/2

Why is it important to determine the sign when using the half-angle identity?

• To determine the value of π

• To ensure the angle is in the correct quadrant

• To simplify the expression

• To avoid using the wrong formula

In which quadrant is the angle 7π/6 located?

• First quadrant

• Fourth quadrant

• Second quadrant

• Third quadrant

What is the cosine of 7π/6?

• √3/2

• -√3/2

• 1/2

• -1/2

What common mistake should be avoided when using the half-angle identity?

• Using the wrong angle

• Forgetting to use parentheses

• Ignoring the sign of the angle

• Not simplifying the expression

How can you simplify the expression for the half-angle identity?

• Multiply by 1/2

• Multiply by 2/2

• Add π to the angle

• Subtract π from the angle