Inverse Trig Functions

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 definition of sin^-1(x)?

Back

sin^-1(x) is the angle whose sine is x, with a range of [-π/2, π/2].

Front

What is the value of cos^-1(0)?

Back

cos^-1(0) = π/2.

Front

What is the value of sin^-1(-1/2)?

Back

sin^-1(-1/2) = -π/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 [-1, 1].

Front

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

Back

tan^-1(x) is the angle whose tangent is x, with a range of (-π/2, π/2).

Front

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

Back

Front

What is the value of tan^-1(-√3)?

Back

tan^-1(-√3) = -π/3.

Front

What is the value of sin^-1(√(2)/2)?

Back

sin^-1(√(2)/2) = π/4.

Front

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

Back

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