Trigonometric Identities and Values

The video tutorial explains how to simplify and evaluate expressions using sum and difference trigonometric identities. It begins with an introduction to recognizing which identity to apply, followed by a detailed example using the sine identity. The tutorial then moves on to another example using the tangent identity, demonstrating how to identify angles and operations to simplify expressions. The video concludes with a promise of more examples in the next video.

What is the first step in simplifying and evaluating using trigonometric identities?

• Multiply the angles

• Draw a reference triangle

• Calculate the angles

• Identify the correct identity to apply

Which identity is used when you have sine of angle A times cosine of angle B?

• Cosine sum identity

• Cotangent difference identity

• Sine sum and difference identity

• Tangent sum identity

What is the sine of pi over 3 equivalent to?

• 3/2

• 1/2

• Square root of 3 over 2

• Square root of 2 over 2

In the tangent sum and difference identity, what do you need to identify first?

• The sine values

• The hypotenuse

• The angles and operations

• The reference triangle

What is the tangent of 30 degrees?

• 1/2

• Square root of 3 over 3

• Square root of 3

• 1