Inverse Trigonometric Functions

Front

What is the definition of Inverse Trigonometric Functions?

Back

Inverse trigonometric functions are functions that return the angle whose trigonometric function value is a given number. They are denoted as sin^-1, cos^-1, and tan^-1.

Front

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

Back

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

Front

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

Back

The range of cos^-1(x) is [0, π].

Front

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

Back

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

Front

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

Back

If y = sin^-1(x), then sin(y) = x.

Front

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

Back

If y = cos^-1(x), then cos(y) = x.

Front

What is the relationship between tan^-1(x) and tan(y)?

Back

If y = tan^-1(x), then tan(y) = x.

Front

Calculate cos^-1(tan(-π/4)).

Back

π.

Front

Calculate tan(sin^-1(1)).

Back

1.

Front

Calculate tan(sin^-1(-1/2)).

Back

-√3/3.