Inverse Trig: Composition of Functions

Front

What is the range of the function arccos(x)?

Back

The range of arccos(x) is [0, π].

Front

What is the domain of the function arcsin(x)?

Back

The domain of arcsin(x) is [-1, 1].

Front

What is the relationship between sin and arcsin?

Back

For any x in the domain of arcsin, sin[arcsin(x)] = x.

Front

What is the relationship between cos and arccos?

Back

For any x in the domain of arccos, cos[arccos(x)] = x.

Front

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

Back

The value is -1.

Front

What is the value of sin[arcsin(1)]?

Back

The value is 1.

Front

What happens if you input a value outside the domain of arcsin or arccos?

Back

You will get 'no solution' as the output.

Front

What is the value of sin[arcsin(0)]?

Back

The value is 0.

Front

What is the value of cos[arccos(0)]?

Back

The value is 0.

Front

What is the value of sin[arcsin(-0.5)]?

Back

The value is -0.5.