Inverse Trig Functions (5.2, 5.4, 5.6)

Front

What is the definition of inverse trigonometric functions?

Back

Inverse trigonometric functions are functions that reverse the action of the standard trigonometric functions, allowing us to find angles when given a ratio of sides.

Front

What is the range of the function cos^-1(x)?

Back

The range of cos^-1(x) is [0, π].

Front

What is the range of the function sin^-1(x)?

Back

The range of sin^-1(x) is [-π/2, π/2].

Front

What is the range of the function tan^-1(x)?

Back

The range of tan^-1(x) is (-π/2, π/2).

Front

What is the restricted domain for the function cos^-1(x)?

Back

The restricted domain for cos^-1(x) is [-1, 1].

Front

What is the value of cos^-1(tan(-π/4))?

Back

π.

Front

What is the value of cos^-1(√(3)/2)?

Back

π/6.

Front

What is the value of tan^-1(-√(3))?

Back

-π/3.

Front

What is the value of cos^-1(-√(3)/2)?

Back

5π/6.

Front

What is the relationship between sin^-1(x) and cos^-1(x)?

Back

sin^-1(x) + cos^-1(x) = π/2 for x in the interval [-1, 1].