Verify an identity by multiplying by the conjugate

The video tutorial explores solving a mathematical problem by comparing two sides of an equation. The instructor suggests various methods, including multiplying by the conjugate, to simplify the expression. Through trial and error, the instructor demonstrates the process of simplifying the equation using Pythagorean identities and factoring. The tutorial concludes with a simplified expression and a reflection on the problem-solving process.

What is the initial step suggested by the teacher to simplify the expressions?

• Add a constant

• Multiply by the conjugate

• Divide by a variable

• Subtract a constant

What mathematical technique is used to simplify the expression in the second section?

• Dividing by zero

• Subtracting terms

• Using the conjugate

• Adding fractions

What is the result of multiplying by the conjugate in the second section?

• Sine squared

• Cosine squared

• 1 minus sine squared

• 1 plus sine squared

What identity is used to simplify the expression further in the final section?

• Trigonometric identity

• Geometric identity

• Algebraic identity

• Pythagorean identity

What is the final simplified form of the expression?

• 1 minus sine of beta over cosine of beta

• Cosine of beta over sine of beta

• 1 plus sine of beta over cosine of beta

• Sine of beta over cosine of beta