Trig Equations Test Review

Front

What is the Law of Cosines?

Back

c² = a² + b² - 2ab cos(C) where c is the side opposite angle C.

Front

How do you determine the number of unique triangles that can be formed with given sides and angles?

Back

Use the triangle inequality theorem and the given values to check for possible triangles.

Front

Solve for angle B if a = 4, b = 5, and c = 8.

Back

Angle B = 30.8°.

Front

What is the formula to find an angle in a triangle using the Law of Cosines?

Back

cos(B) = (a² + c² - b²) / (2ac).

Front

How do you calculate the length of a side in a triangle using the Law of Cosines?

Back

Use the formula: c² = a² + b² - 2ab cos(C).

Front

What is the significance of the angle in determining the type of triangle?

Back

The angles determine if the triangle is acute, right, or obtuse.

Front

What is the relationship between the sides and angles of a triangle?

Back

In a triangle, larger angles are opposite longer sides.

Front

What is the Sine Rule?

Back

a/sin(A) = b/sin(B) = c/sin(C), used to find unknown sides or angles.

Front

How can you find the area of a triangle using the sine of an angle?

Back

Area = 1/2 * a * b * sin(C).

Front

What is the definition of an obtuse triangle?

Back

A triangle with one angle greater than 90°.