How to evaluate the half angle of sine when given a triangle

The video tutorial explains how to calculate the sine of theta divided by two, emphasizing the negative sign due to the double angle. It covers the simplification of cosine and fractions, leading to the final calculation and simplification of the expression.

Why is the sine of theta divided by two considered negative in this context?

• As a result of the angle being acute

• Because the angle is in the first quadrant

• Due to the properties of the double angle

• Since cosine is always negative

What is the formula used to calculate cosine of theta in this section?

• Opposite over adjacent

• Hypotenuse over adjacent

• Opposite over hypotenuse

• Adjacent over hypotenuse

How do you simplify a fraction when dividing by a whole number?

• Divide the fraction by the whole number

• Add the whole number to the fraction

• Subtract the whole number from the fraction

• Multiply by the reciprocal of the whole number

What is the result of simplifying 1 minus 1/3 divided by two?

• 1/2

• 2/3

• 1/3

• 1/6

What is the final simplified form of the expression in this section?

• Positive square root of 1/3

• Negative square root of 1/3

• 1/3

• Negative 1/3