Evaluate the half angle of sine given an angle in radians

The video tutorial covers the half-angle identity for sine, explaining how to apply it and the significance of the plus or minus sign in trigonometric identities. It discusses the importance of understanding quadrants to determine the sign of trigonometric functions. The tutorial also evaluates cosine using the half-angle identity and demonstrates how to simplify complex fractions in trigonometric expressions.

What does the plus or minus sign in the half-angle identity for sine indicate?

• The type of angle (acute or obtuse)

• The quadrant in which the angle lies

• The length of the hypotenuse

• The angle's degree measure

In which quadrant is the angle 5π/6 located?

• Fourth quadrant

• First quadrant

• Second quadrant

• Third quadrant

Why is it important to know the quadrant when evaluating cosine using the unit circle?

• To determine the angle's degree measure

• To find the length of the radius

• To decide the sign of the cosine value

• To calculate the area of the circle

What is a common method to simplify complex fractions?

• Subtracting the denominators

• Dividing by the largest term

• Multiplying by the common denominator

• Adding the numerators

When is it permissible to break a radical across division?

• When it involves addition

• When it involves subtraction

• When it does not involve addition or subtraction

• When the terms are equal