FST Ch 5 Review

Front

What is the Law of Cosines?

Back

The Law of Cosines states that for any triangle with sides a, b, and c, and angle C opposite side c: c² = a² + b² - 2ab * cos(C). It is used to find a side or angle in a triangle when two sides and the included angle are known.

Front

What is the formula for finding the tangent of an angle in a right triangle?

Back

The tangent of an angle θ is defined as the ratio of the opposite side to the adjacent side: tan(θ) = opposite/adjacent.

Front

What is the range of the sine function?

Back

The range of the sine function is [-1, 1]. This means that the output values of sin(x) will always fall between -1 and 1.

Front

What is the period of the sine and cosine functions?

Back

The period of the sine and cosine functions is 2π. This means that the functions repeat their values every 2π radians.

Front

What is the definition of a radian?

Back

A radian is a unit of angular measure defined as the angle subtended at the center of a circle by an arc equal in length to the radius of the circle.

Front

What is the relationship between degrees and radians?

Back

To convert degrees to radians, multiply by π/180. To convert radians to degrees, multiply by 180/π.

Front

What is the value of sin(π/6)?

Back

sin(π/6) = 1/2.

Front

What is the value of cos(π/3)?

Back

cos(π/3) = 1/2.

Front

What is the value of tan(π/4)?

Back

tan(π/4) = 1.

Front

What is the definition of the cotangent function?

Back

The cotangent function is the reciprocal of the tangent function: cot(θ) = 1/tan(θ) = adjacent/opposite.