Trigonometric Identities and Applications

Click on the flashcard to see the answer

What is a trigonometric identity?

A trigonometric identity is an equation involving trigonometric functions that is true for all angles within a certain range.

Provide an example of a trigonometric identity.

One example is sin²θ + cos²θ = 1.

What is the angle sum identity for sine?

The angle sum identity for sine is sin(A + B) = sinA cosB + cosA sinB.

What real-world applications does trigonometry have?

Trigonometry is used in fields like physics, engineering, astronomy, and navigation.

How does the cosine function relate to the unit circle?

On the unit circle, the cosine of an angle is the x-coordinate of the point where the terminal side intersects the circle.

What is the co-function identity for sine and cosine?

The co-function identity is sin(90° - θ) = cosθ and cos(90° - θ) = sinθ.