Verifying trigonometric identities by converting to a monomial denominator

The video tutorial explains how to simplify a trigonometric equation by choosing the more complex side to work on. The instructor demonstrates the process of simplifying the right side of the equation using algebraic manipulation and the Pythagorean identity. The goal is to transform the equation into a form that matches the left side, ultimately showing that secant of Y plus tangent of Y equals the given expression. The tutorial emphasizes the importance of strategic simplification and understanding trigonometric identities.

What is the first step in solving a trigonometric equation according to the instructor?

• Add a constant to both sides

• Multiply both sides by a constant

• Choose the more complex side to work on

• Choose the simpler side to work on

What method does the instructor use to remove the denominator on the right side of the equation?

• Subtracting a term

• Multiplying by a conjugate

• Dividing by a variable

• Adding a constant

Which identity is used to simplify the expression after removing the denominator?

• Reciprocal Identity

• Sum and Difference Identity

• Pythagorean Identity

• Double Angle Identity

What is the result of dividing cosine by cosine in the simplification process?

• Sine

• Zero

• Cosine

• One

What trigonometric identities does the instructor identify at the end of the simplification?

• Cosecant and Cotangent

• Secant and Tangent

• Sine and Cosine

• Tangent and Cotangent