Verifying trig identities by removing your denominator

The video tutorial explains the process of verifying trigonometric identities. It begins by discussing the importance of choosing one side of the equation to simplify, preferably the more complex side. The tutorial then demonstrates how to simplify trigonometric expressions using identities, such as converting secant squared to one plus tangent squared. The process involves manipulating the expressions to show that both sides of the equation are equal, ultimately verifying the identity. The tutorial emphasizes the use of trigonometric identities and simplification techniques to achieve this goal.

What is the first step in verifying a trigonometric identity?

• Convert both sides to sine and cosine

• Pick the simpler side to simplify

• Pick one side, preferably the more complicated one, to simplify

• Multiply both sides by a common factor

Which identity is used to transform secant squared in the simplification process?

• Secant squared equals one minus tangent squared

• Secant squared equals sine squared plus cosine squared

• Secant squared equals tangent squared minus one

• Secant squared equals one plus tangent squared

What operation is performed to remove secant from the denominator?

• Add one to both sides

• Divide by tangent

• Multiply by cosine

• Multiply by sine

How is tangent expressed in terms of sine and cosine?

• Tangent equals one over sine

• Tangent equals sine over cosine

• Tangent equals cosine over sine

• Tangent equals sine times cosine

What is the final result of the identity verification process?

• Sine squared equals sine squared

• Tangent squared equals secant squared

• Sine squared equals cosine squared

• Cosine squared equals tangent squared