Retake: Unit 3 Laws, Area, and Trig Identities

Front

What is the double-angle identity for sine?

Back

Front

What is the Pythagorean identity?

Back

Front

How do you simplify tanB (cotB + tanB)?

Back

Using the identity, we have: tanB (cotB + tanB) = tanB * cotB + tan^2B = 1 + tan^2B = sec^2B.

Front

What is the formula for finding the angle in a triangle using the Law of Cosines?

Back

Front

What is the relationship between sine and cosine in a right triangle?

Back

Front

What is the formula for the tangent of an angle in terms of sine and cosine?

Back

Front

What is the value of tan(90°)?

Back

The value of tan(90°) is undefined.

Front

What is the double-angle identity for tangent?

Back

Front

How do you find the exact value of tan(2θ) if sin(θ) is known?

Back

Front

What is the sine of an angle in terms of the unit circle?

Back

In the unit circle, the sine of an angle is the y-coordinate of the point on the circle corresponding to that angle.