Composite Trig Functions

Front

What is the range of angles for inverse cosine?

Back

The range of angles for inverse cosine is [0, π].

Front

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

Back

The value is π.

Front

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

Back

The value is 3π/4.

Front

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

Back

The value is -\frac{\sqrt{3}}{3}.

Front

What is the value of sin^-1(cos 5π/6)?

Back

The value is -π/3.

Front

Define composite trigonometric functions.

Back

Composite trigonometric functions are formed by combining two or more trigonometric functions, such as sin(tan(x)) or cos(sin(x)).

Front

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

Back

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

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(π/4)?

Back

The value is 1.

Front

What is the value of sin(π/6)?

Back

The value is 1/2.