Inverse Trig Functions

Front

Define 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 inverse sine function (sin^-1)?

Back

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

Front

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

Back

The range of the inverse cosine function is [0, π].

Front

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

Back

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

Front

Calculate sin^-1(√(2)/2).

Back

π/4.

Front

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

Back

-√(3)/3.

Front

Calculate cos^-1(-√(3)/2).

Back

5π/6.

Front

Calculate cos^-1(tan(-π/4)).

Back

π.

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 [0, 1].

Front

What is the formula for converting between degrees and radians?

Back

Degrees = Radians × (180/π).