How to simplify a trig expression

The video tutorial explains how to simplify trigonometric expressions by rewriting them in terms of sines and cosines. It demonstrates the use of quotient and Pythagorean identities to combine and simplify fractions, ultimately arriving at a single trigonometric identity. The tutorial emphasizes the importance of common denominators when adding or subtracting fractions and concludes with the final expression in terms of secant.

What is the recommended approach if you get stuck while simplifying trigonometric expressions?

• Use the reciprocal identities

• Use the double angle formulas

• Convert to exponential form

• Rewrite in terms of sines and cosines

What is the quotient identity for tangent?

• cosine times sine

• cosine over sine

• sine over cosine

• sine times cosine

When combining fractions, what must be true about their denominators?

• They must be different

• They must be whole numbers

• They must be equal

• They must be prime numbers

What does sine squared plus cosine squared equal according to the Pythagorean identity?

• Theta

• 0

• 1

• 2

What is the reciprocal of cosine?

• Cotangent

• Cosecant

• Tangent

• Secant