Evaluate the half angle of sine from 22 5 degrees

The video tutorial covers trigonometric concepts, focusing on solving for Theta, evaluating the cosine of 45 degrees, and simplifying complex fractions. It explains the positive nature of the first quadrant and the use of radicals as rational powers. The tutorial also addresses common mistakes in algebraic simplification and provides strategies for handling complex fractions.

In which quadrant are all trigonometric functions positive?

• Second Quadrant

• Third Quadrant

• Fourth Quadrant

• First Quadrant

What is the value of Theta if Theta divided by two equals 22.5 degrees?

• 22.5 degrees

• 45 degrees

• 47 degrees

• 90 degrees

What is the cosine of 45 degrees?

• sqrt(3)/2

• sqrt(2)/2

• 0

• 1

What is a complex fraction?

• A fraction with a decimal

• A fraction with a negative number

• A fraction within a fraction

• A fraction with a radical

How can you simplify a complex fraction?

• By adding fractions

• By multiplying the numerator and denominator by the same number

• By subtracting fractions

• By dividing the numerator by the denominator

What is the equivalent of dividing by 2?

• Multiplying by 1/2

• Multiplying by 2

• Adding 2

• Dividing by 1/2

What is the result of multiplying a fraction by its reciprocal?

• A negative number

• The original fraction

• One

• Zero