On this interval the sine function is one-to-one, and its inverse function sin−1 is defined by sin−1(x) = y ⇔ sin = . For example, sin−1 1 2 = because sin = . (b) To define the inverse cosine function, we restrict the domain of cosine to the interval . On this interval the cosine function is one-to-one and its inverse function cos−1 is defined by cos−1(x) = y ⇔ cos = . For example, cos−1 1 2 = because cos
On this interval the sine function is one-to-one, and its inverse function sin−1 is defined by sin−1(x) = y ⇔ sin = . For example, sin−1 1 2 = because sin = . (b) To define the inverse cosine function, we restrict the domain of cosine to the interval . On this interval the cosine function is one-to-one and its inverse function cos−1 is defined by cos−1(x) = y ⇔ cos = . For example, cos−1 1 2 = because cos
On this interval the sine function is one-to-one, and its inverse function sin−1 is defined by sin−1(x) = y ⇔ sin = . For example, sin−1 1 2 = because sin = . (b) To define the inverse cosine function, we restrict the domain of cosine to the interval . On this interval the cosine function is one-to-one and its inverse function cos−1 is defined by cos−1(x) = y ⇔ cos = . For example, cos−1 1 2 = because cos
On this interval the sine function is one-to-one, and its inverse function
sin−1
is defined by
sin−1(x) = y ⇔ sin
=
.
For example,
sin−1
1
2
=
because
sin
=
.
(b) To define the inverse cosine function, we restrict the domain of cosine to the interval
. On this interval the cosine function is one-to-one and its inverse function
cos−1
is defined by
cos−1(x) = y ⇔ cos
=
.
For example,
cos−1
1
2
=
because
cos
=
.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
