Geom Chapter 9 Review

Front

What is the formula to find the area of a triangle?

Back

Area = 1/2 * base * height.

Front

How do you determine the magnitude of a vector given its components?

Back

Magnitude = √(x² + y²), where x and y are the components of the vector.

Front

What is the sine function in relation to a right triangle?

Back

Sine of an angle = opposite side / hypotenuse.

Front

What is the cosine function in relation to a right triangle?

Back

Cosine of an angle = adjacent side / hypotenuse.

Front

How do you find the direction of a vector?

Back

Direction = arctan(y/x), where y and x are the components of the vector.

Front

What is the relationship between sine and cosine for complementary angles?

Back

sin(θ) = cos(90° - θ).

Front

What is the Pythagorean theorem?

Back

In a right triangle, a² + b² = c², where c is the hypotenuse.

Front

How do you calculate the angle of elevation?

Back

Angle of elevation = arctan(opposite/adjacent).

Front

What is the formula for the Law of Sines?

Back

a/sin(A) = b/sin(B) = c/sin(C), where a, b, c are sides and A, B, C are opposite angles.

Front

What is the formula for the Law of Cosines?

Back

c² = a² + b² - 2ab*cos(C), where a, b, c are sides and C is the angle opposite side c.