Trig fractions add, subtract and simplify

The video tutorial covers adding fractions with the same and different denominators, emphasizing the importance of finding common denominators and simplifying results. It also explores simplifying trigonometric fractions using identities, such as converting expressions to single trigonometric functions. The tutorial provides strategies for handling multiple choice questions by ensuring answers are fully simplified. Key concepts include fraction addition, trigonometric simplification, and the use of Pythagorean identities.

What is the result of adding 1/4 and 1/4?

• 1

• 2/4

• 1/2

• 1/4

How do you add fractions with different denominators?

• Subtract the smaller denominator from the larger one

• Add the numerators directly

• Multiply the denominators

• Find a common denominator

What is the simplified form of 1 - sin²(θ) using trigonometric identities?

• sec²(θ)

• tan²(θ)

• cos²(θ)

• csc²(θ)

Which trigonometric identity is used to simplify cos²(θ) + sin²(θ)?

• Pythagorean identity

• Reciprocal identity

• Quotient identity

• Even-Odd identity

What is the least common denominator (LCD) for the fractions 3/4 and 4/3?

• 16

• 12

• 9

• 7

How can you express sin(θ)/cos(θ) + cos(θ)/sin(θ) using a common denominator?

• sin²(θ) + cos²(θ)

• 1

• cos²(θ) - sin²(θ)

• sin²(θ) - cos²(θ)

What is the simplified form of the expression cosec(θ) * sec(θ)?

• cot(θ)

• 1/(sin(θ) * cos(θ))

• sin(θ) * cos(θ)

• tan(θ)