Understanding Negative Angle Identities

The video tutorial covers negative angle identities, explaining how they are used to determine function values. It begins with a review of identity equations, followed by detailed explanations of negative angle identities for sine, cosecant, cosine, secant, tangent, and cotangent. The video also includes problem-solving examples to illustrate the application of these identities.

What is an identity equation?

• An equation that is true for every value of the variable.

• An equation that is true only for positive values of the variable.

• An equation that is true for some values of the variable.

• An equation that is true for no values of the variable.

What is the relationship between sine and cosecant?

• They are unrelated.

• They are inverses of each other.

• They are reciprocals of each other.

• They are equal.

What is the value of sine(-θ) in terms of sine(θ)?

• sine(θ) + 1

• 1/sine(θ)

• -sine(θ)

• sine(θ)

What is the value of cosine(-θ) in terms of cosine(θ)?

• cosine(θ) - 1

• 1/cosine(θ)

• cosine(θ)

• -cosine(θ)

What is the relationship between cosine and secant?

• They are reciprocals of each other.

• They are equal.

• They are inverses of each other.

• They are unrelated.

What is the value of tangent(-θ) in terms of tangent(θ)?

• -tangent(θ)

• tangent(θ)

• 1/tangent(θ)

• tangent(θ) + 1

What is the value of cotangent(-θ) in terms of cotangent(θ)?

• cotangent(θ)

• -cotangent(θ)

• 1/cotangent(θ)

• cotangent(θ) + 1

If tangent(θ) = 3.1, what is tangent(-θ)?

• 1/3.1

• -3.1

• 3.1

• 3.1 + 1

If cosine(θ) = -0.25, what is cosine(-θ)?

• 1/-0.25

• -0.25

• -0.25 + 1

• 0.25

If tangent(π/4) = 1, what is tangent(-π/4)?

• -1

• 1

• 2

• 0