Retake: Unit 3 Laws, Area, and Trig Identities

Front

What is the formula for the area of a triangle given its base and height?

Back

Area = \frac{1}{2} \times base \times height.

Front

What is the Law of Cosines?

Back

c^2 = a^2 + b^2 - 2ab \cdot \cos(C), where a, b, and c are the sides of the triangle and C is the angle opposite side c.

Front

What is the Law of Sines?

Back

\frac{a}{\sin(A)} = \frac{b}{\sin(B)} = \frac{c}{\sin(C)}, where a, b, and c are the sides of the triangle and A, B, and C are the angles opposite those sides.

Front

What is the value of \sin(90^\circ)?

Back

1

Front

What is the value of \cos(0^\circ)?

Back

1

Front

What is the value of \tan(45^\circ)?

Back

1

Front

What is the Pythagorean identity?

Back

\sin^2(x) + \cos^2(x) = 1.

Front

How do you convert degrees to radians?

Back

Radians = Degrees \times \frac{\pi}{180}.

Front

What is the sine addition formula?

Back

\sin(a + b) = \sin(a)\cos(b) + \cos(a)\sin(b).

Front

What is the cosine addition formula?

Back

\cos(a + b) = \cos(a)\cos(b) - \sin(a)\sin(b).