Verifying a trigonometirc identitiy by working one side

The video tutorial guides students through the process of verifying trigonometric equations. It begins with an introduction to the concept and the steps involved. The teacher explains how to choose a side of the equation to simplify, often opting for the more complex side. The tutorial then demonstrates simplifying the left side of an equation using trigonometric identities and properties, such as the Pythagorean identity. The process concludes with verifying that both sides of the equation are equal, ensuring a true statement.

What is the first step in verifying a trigonometric equation according to the teacher?

• Use the distributive property immediately.

• Start with the right side of the equation.

• Pick the more complicated side to simplify.

• Choose the simpler side to work on.

How does the teacher suggest eliminating fractions from the equation?

• By adding a constant to both sides.

• By multiplying by the sine of T on both the numerator and denominator.

• By dividing by the cosine of T.

• By using the tangent function.

Which identity is used to express cotangent in terms of cosecant?

• Cotangent equals sine squared minus one.

• Cotangent equals cosine squared minus one.

• Cotangent equals cosecant squared minus one.

• Cotangent equals tangent squared minus one.

What is the result of multiplying sine of T by cosecant of T?

• One

• Zero

• Sine squared of T

• Cosecant squared of T

What is the final conclusion after verifying the trigonometric equation?

• The equation cannot be verified.

• The left side is equal to the right side.

• The left side is less than the right side.

• The left side is greater than the right side.