Trig Review

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that determine the angle whose trigonometric ratio is a given number. They include arcsin, arccos, and arctan.

Front

How do you convert degrees to radians?

Back

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

Front

What is the value of sin(45°)?

Back

sin(45°) = √2/2.

Front

What is the value of cos(45°)?

Back

cos(45°) = √2/2.

Front

What is the Pythagorean identity for sine and cosine?

Back

sin²(θ) + cos²(θ) = 1.

Front

How do you find the cosine of an angle given a point on the terminal side?

Back

If (x, y) is a point on the terminal side of angle θ, then cos(θ) = x/r, where r = √(x² + y²).

Front

What is the reference angle for 225°?

Back

The reference angle for 225° is 45°.

Front

What are the angles in degrees where sine and cosine are equal?

Back

Sine and cosine are equal at 45° and 225°.

Front

How do you find the sine of an angle given a point on the terminal side?

Back

If (x, y) is a point on the terminal side of angle θ, then sin(θ) = y/r, where r = √(x² + y²).

Front

What is the value of tan(45°)?

Back

tan(45°) = 1.