PreCalculus Final Exam Review

Front

What is the formula to calculate the length of an arc in a circle?

Back

Length of arc = r * θ, where r is the radius and θ is the central angle in radians.

Front

What is the relationship between cosine and secant?

Back

cos x = 1/sec x.

Front

State the Pythagorean identity involving sine and cosine.

Back

sin²θ + cos²θ = 1.

Front

How do you find the arc length of a circle given the radius and central angle?

Back

Arc length = r * θ, where r is the radius and θ is in radians.

Front

What is the value of sec²x in terms of cos x?

Back

sec²x = 1/cos²x.

Front

If sin²θ + cos²θ = 1, what is cos²θ in terms of sin²θ?

Back

cos²θ = 1 - sin²θ.

Front

What is the radian measure of a central angle if the arc length is equal to the radius?

Back

The radian measure is 1 radian.

Front

What is the relationship between sine and cosecant?

Back

sin x = 1/csc x.

Front

How do you convert degrees to radians?

Back

Radians = Degrees × (π/180).

Front

What is the formula for the area of a sector of a circle?

Back

Area = 1/2 * r² * θ, where r is the radius and θ is in radians.