Inverse Trig Functions Practice

Front

What is the definition of the cosecant function?

Back

The cosecant function, denoted as csc(x), is the reciprocal of the sine function: csc(x) = 1/sin(x).

Front

What is the range of the inverse sine function (arcsin)?

Back

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

Front

What is the relationship between the sine and cosecant functions?

Back

The cosecant function is the reciprocal of the sine function: csc(x) = 1/sin(x).

Front

What is the value of csc(cos^-1(√(3)/2))?

Back

2

Front

What is the definition of the arccos function?

Back

The arccos function, denoted as arccos(x), is the inverse function of the cosine function, returning the angle whose cosine is x.

Front

What is the value of arccos[cos(7π/4)]?

Back

Front

What is the definition of the arctan function?

Back

The arctan function, denoted as tan^-1(x), is the inverse function of the tangent function, returning the angle whose tangent is x.

Front

What is the value of tan^-1(√(3))?

Back

Front

What is the range of the arctan function?

Back

The range of the arctan function is (-π/2, π/2).

Front

What is the relationship between the tangent and arctangent functions?

Back

The arctangent function is the inverse of the tangent function: if y = tan(x), then x = tan^-1(y).