Verifying trigonometric identities by splitting up your fractions

The video tutorial explains how to handle expressions with denominators, focusing on dividing each term by the denominator. It demonstrates rewriting expressions using trigonometric identities, specifically secant and sine squared. The tutorial further simplifies expressions using Pythagorean identities, showing that one minus cosine squared equals sine squared. The key takeaway is understanding the application of these identities in simplifying trigonometric expressions.

What happens to each term in an expression when divided by a common denominator?

• Each term is added to the denominator.

• Each term is subtracted from the denominator.

• Each term is divided by the denominator.

• Each term is multiplied by the denominator.

What is the result of dividing secant squared of Theta by itself?

• Secant squared

• One

• Zero

• Cosine squared

What is the reciprocal of one over secant squared?

• Tangent squared

• Cosine squared

• Cosecant squared

• Sine squared

Which identity is used to transform one minus cosine squared into sine squared?

• Even-Odd identity

• Quotient identity

• Pythagorean identity

• Reciprocal identity

Why is it important to understand Pythagorean identities?

• They simplify trigonometric expressions.

• They help in solving linear equations.

• They are not important.

• They are used in calculus.