Retake: Unit 3 Laws, Area, and Trig Identities

Front

Simplify: tanB (cotB + tanB)

Back

sec² B

Front

What is the area of a triangle with two sides that measure 5 cm and 8 cm with an included angle of 39°?

Back

12.6 cm²

Front

Find area of \( \Delta ABC \)

Back

223.6 units²

Front

Find the exact value for tan 22.5°.

Back

\( \sqrt{2}-1 \)

Front

Write the following expression as the sine, cosine, or tangent of an angle: cos175° cos55° + sin175° sin55°

Back

cos 120°

Front

What is the formula for the area of a triangle given two sides and the included angle?

Back

Area = \( \frac{1}{2}ab \sin(C) \)

Front

State the Pythagorean identity for sine and cosine.

Back

\( \sin²(x) + \, \cos²(x) = 1 \)

Front

What is the relationship between cotangent and tangent?

Back

\( \cot(x) = \frac{1}{\tan(x)} \)

Front

What is the Law of Sines?

Back

\( \frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)} \)

Front

What is the Law of Cosines?

Back

\( c² = a² + b² - 2ab \cos(C) \)