Inverse Trig - Unit Circle

Front

What is the definition of the inverse sine function (sin^-1)?

Back

The inverse sine function, sin^-1(x), returns the angle whose sine is x, with a range of [-π/2, π/2].

Front

What is the definition of the inverse cosine function (cos^-1)?

Back

The inverse cosine function, cos^-1(x), returns the angle whose cosine is x, with a range of [0, π].

Front

What is the definition of the inverse tangent function (tan^-1)?

Back

The inverse tangent function, tan^-1(x), returns the angle whose tangent is x, with a range of (-π/2, π/2).

Front

What is the relationship between sine and cosine in the unit circle?

Back

In the unit circle, sine corresponds to the y-coordinate and cosine corresponds to the x-coordinate of a point on the circle.

Front

What is the value of sin(cos^-1(0))?

Back

1

Front

What is the value of tan(sin^-1(-1/2))?

Back

-√3/3

Front

What is the value of tan^-1(√3)?

Back

π/3

Front

What is the value of tan[arccos(-1)]?

Back

0

Front

What is the value of arccos(-√3/2)?

Back

5π/6

Front

What is the range of the inverse sine function?

Back

[-π/2, π/2]