How to verify a trigonometric identity by expanding one side

The video tutorial discusses the complexity of a mathematical problem and explores different approaches to simplify it. The instructor decides to make the left side of the equation look like the right side and expands the tangent expression using the FOIL method. The process involves combining terms and simplifying the expression to reach the final result, which is verified using a reference sheet.

What is the main decision the instructor makes when simplifying expressions?

• Whether to use sine or cosine

• Whether to multiply or divide terms

• Whether to add or subtract terms

• Whether to make the left side look like the right side or vice versa

Which method is used to expand the binomial expression involving tangent of X?

• The Pythagorean theorem

• The quadratic formula

• The FOIL method

• The distributive property

What is the result of expanding the expression (tangent of X) * (1 - tangent of X)?

• 1 + 2 tangent of X + tangent squared of X

• 1 - 2 tangent of X + tangent squared of X

• 1 - tangent of X + tangent squared of X

• 1 + tangent of X - tangent squared of X

What trigonometric identity is used to simplify 1 + tangent squared of X?

• Sine squared X

• Cosecant squared X

• Secant squared X

• Cosine squared X

What is the final simplified form of the expression discussed in the video?

• Sine squared X

• Secant squared X

• Cosine squared X

• Tangent squared X