unit circle and inverse Trig Functions

Front

What is the definition of the unit circle?

Back

The unit circle is a circle with a radius of 1 centered at the origin (0,0) in the coordinate plane.

Front

What are the coordinates of the point on the unit circle at 0 radians?

Back

(1, 0)

Front

What are the coordinates of the point on the unit circle at π/2 radians?

Back

(0, 1)

Front

What are the coordinates of the point on the unit circle at π radians?

Back

(-1, 0)

Front

What are the coordinates of the point on the unit circle at 3π/2 radians?

Back

(0, -1)

Front

What is the sine of an angle in the unit circle?

Back

The sine of an angle is the y-coordinate of the corresponding point on the unit circle.

Front

What is the cosine of an angle in the unit circle?

Back

The cosine of an angle is the x-coordinate of the corresponding point on the unit circle.

Front

What is the tangent of an angle in the unit circle?

Back

The tangent of an angle is the ratio of the sine to the cosine (tan(x) = sin(x)/cos(x)).

Front

What is the range of the arcsin function?

Back

The range of the arcsin function is [-π/2, π/2].

Front

What is the range of the arccos function?

Back

The range of the arccos function is [0, π].