diff --git a/lib/node_modules/@stdlib/math/base/special/cos/README.md b/lib/node_modules/@stdlib/math/base/special/cos/README.md index 8ef4bb9d6cb5..3f13e2d5a865 100644 --- a/lib/node_modules/@stdlib/math/base/special/cos/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cos/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [cosine][cosine] of a number. +
+ +The [cosine][cosine] function can be expressed as the infinite series + + + +```math +\cos(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n)!} x^{2n} = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \cdots +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/cosd/README.md b/lib/node_modules/@stdlib/math/base/special/cosd/README.md index ec72cdfd17b2..98228ec03e69 100644 --- a/lib/node_modules/@stdlib/math/base/special/cosd/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cosd/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [cosine][trigonometric-functions] of an angle measured in degrees is computed as + + + +```math +y = \cos\left(\frac{\pi x}{180}\right) +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/cosdf/README.md b/lib/node_modules/@stdlib/math/base/special/cosdf/README.md index 24443041a88b..98bf710f1656 100644 --- a/lib/node_modules/@stdlib/math/base/special/cosdf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cosdf/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [cosine][trigonometric-functions] of an angle measured in degrees is computed as + + + +```math +y = \cos\left(\frac{\pi x}{180}\right) +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/cosf/README.md b/lib/node_modules/@stdlib/math/base/special/cosf/README.md index 791ac0018cf6..e486ba789c3b 100644 --- a/lib/node_modules/@stdlib/math/base/special/cosf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cosf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [cosine][cosine] of a single-precision floating-point number (in radians). +
+ +The [cosine][cosine] function can be expressed as the infinite series + + + +```math +\cos(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n)!} x^{2n} = 1 - \frac{x^2}{2!} + \frac{x^4}{4!} - \cdots +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/cot/README.md b/lib/node_modules/@stdlib/math/base/special/cot/README.md index 897e7df2e614..6b5af6e4e38a 100644 --- a/lib/node_modules/@stdlib/math/base/special/cot/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cot/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [cotangent][trigonometric-functions] function is defined as + + + +```math +y = \cot(x) = \frac{\cos(x)}{\sin(x)} +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/cotd/README.md b/lib/node_modules/@stdlib/math/base/special/cotd/README.md index d9dbdf44a0b7..cd6067b8bf52 100644 --- a/lib/node_modules/@stdlib/math/base/special/cotd/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cotd/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [cotangent][trigonometric-functions] of an angle measured in degrees is computed as + + + +```math +y = \cot\left(\frac{\pi x}{180}\right) +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/cotdf/README.md b/lib/node_modules/@stdlib/math/base/special/cotdf/README.md index bccb71ef5b26..ac17bc7c8485 100644 --- a/lib/node_modules/@stdlib/math/base/special/cotdf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cotdf/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [cotangent][trigonometric-functions] of an angle measured in degrees is computed as + + + +```math +y = \cot\left(\frac{\pi x}{180}\right) +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/cotf/README.md b/lib/node_modules/@stdlib/math/base/special/cotf/README.md index b19044590e02..99dd3c2ddab1 100644 --- a/lib/node_modules/@stdlib/math/base/special/cotf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cotf/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [cotangent][trigonometric-functions] function is defined as + + + +```math +y = \cot(x) = \frac{\cos(x)}{\sin(x)} +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/README.md b/lib/node_modules/@stdlib/math/base/special/csc/README.md index 57cc03fda1ae..30bba15236bd 100644 --- a/lib/node_modules/@stdlib/math/base/special/csc/README.md +++ b/lib/node_modules/@stdlib/math/base/special/csc/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [cosecant][trigonometric-functions] function is defined as + + + +```math +y = \csc(x) = \frac{1}{\sin(x)} +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/cscd/README.md b/lib/node_modules/@stdlib/math/base/special/cscd/README.md index 7c681574a80f..5d38a741afe7 100644 --- a/lib/node_modules/@stdlib/math/base/special/cscd/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cscd/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [cosecant][cosecant] of a degree. +
+ +The [cosecant][cosecant] of an angle measured in degrees is computed as + + + +```math +y = \csc\left(\frac{\pi x}{180}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/cscdf/README.md b/lib/node_modules/@stdlib/math/base/special/cscdf/README.md index e595d7a1b2a3..467e6bdb9895 100644 --- a/lib/node_modules/@stdlib/math/base/special/cscdf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cscdf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [cosecant][cosecant] of a single-precision floating-point number (in degrees). +
+ +The [cosecant][cosecant] of an angle measured in degrees is computed as + + + +```math +y = \csc\left(\frac{\pi x}{180}\right) +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/cscf/README.md b/lib/node_modules/@stdlib/math/base/special/cscf/README.md index e65c7908d066..761f5310d58c 100644 --- a/lib/node_modules/@stdlib/math/base/special/cscf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/cscf/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [cosecant][trigonometric-functions] function is defined as + + + +```math +y = \csc(x) = \frac{1}{\sin(x)} +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/README.md b/lib/node_modules/@stdlib/math/base/special/sec/README.md index 8c1b685664a2..f346718b6ea7 100644 --- a/lib/node_modules/@stdlib/math/base/special/sec/README.md +++ b/lib/node_modules/@stdlib/math/base/special/sec/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [secant][trigonometric-functions] function is defined as + + + +```math +y = \sec(x) = \frac{1}{\cos(x)} +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/secd/README.md b/lib/node_modules/@stdlib/math/base/special/secd/README.md index 0e91d5f7ba1b..ae5476ae578a 100644 --- a/lib/node_modules/@stdlib/math/base/special/secd/README.md +++ b/lib/node_modules/@stdlib/math/base/special/secd/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [secant][secant] of an angle measured in degrees. +
+ +The [secant][secant] of an angle measured in degrees is computed as + + + +```math +y = \sec\left(\frac{\pi x}{180}\right) = \frac{1}{\cos\left(\frac{\pi x}{180}\right)} +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/secdf/README.md b/lib/node_modules/@stdlib/math/base/special/secdf/README.md index 39fd317147dc..9964c19c9d33 100644 --- a/lib/node_modules/@stdlib/math/base/special/secdf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/secdf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [secant][secant] of a single-precision floating-point number (in degrees). +
+ +The [secant][secant] of an angle measured in degrees is computed as + + + +```math +y = \sec\left(\frac{\pi x}{180}\right) = \frac{1}{\cos\left(\frac{\pi x}{180}\right)} +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/secf/README.md b/lib/node_modules/@stdlib/math/base/special/secf/README.md index 6897159fa6aa..0ba9cd5095ad 100644 --- a/lib/node_modules/@stdlib/math/base/special/secf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/secf/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [secant][trigonometric-functions] function is defined as + + + +```math +y = \sec(x) = \frac{1}{\cos(x)} +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/sin/README.md b/lib/node_modules/@stdlib/math/base/special/sin/README.md index e11e183e38f5..fdfab93aeeeb 100644 --- a/lib/node_modules/@stdlib/math/base/special/sin/README.md +++ b/lib/node_modules/@stdlib/math/base/special/sin/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [sine][sine] of a number. +
+ +The [sine][sine] function can be expressed as the infinite series + + + +```math +\sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!} x^{2n+1} = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \cdots +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/sind/README.md b/lib/node_modules/@stdlib/math/base/special/sind/README.md index 620765b023bf..83ecd54e0f10 100644 --- a/lib/node_modules/@stdlib/math/base/special/sind/README.md +++ b/lib/node_modules/@stdlib/math/base/special/sind/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [sine][trigonometric-functions] of an angle measured in degrees is computed as + + + +```math +y = \sin\left(\frac{\pi x}{180}\right) +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/sindf/README.md b/lib/node_modules/@stdlib/math/base/special/sindf/README.md index 16f2b6f9f78a..5ee1aac3f550 100644 --- a/lib/node_modules/@stdlib/math/base/special/sindf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/sindf/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [sine][trigonometric-functions] of an angle measured in degrees is computed as + + + +```math +y = \sin\left(\frac{\pi x}{180}\right) +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/sinf/README.md b/lib/node_modules/@stdlib/math/base/special/sinf/README.md index 2d91a38efb50..cc32e912ddd1 100644 --- a/lib/node_modules/@stdlib/math/base/special/sinf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/sinf/README.md @@ -22,6 +22,22 @@ limitations under the License. > Compute the [sine][sine] of a single-precision floating-point number (in radians). +
+ +The [sine][sine] function can be expressed as the infinite series + + + +```math +\sin(x) = \sum_{n=0}^{\infty} \frac{(-1)^n}{(2n+1)!} x^{2n+1} = x - \frac{x^3}{3!} + \frac{x^5}{5!} - \cdots +``` + + + +
+ + +
## Usage diff --git a/lib/node_modules/@stdlib/math/base/special/tand/README.md b/lib/node_modules/@stdlib/math/base/special/tand/README.md index acd0292d57ba..f768b3038c43 100644 --- a/lib/node_modules/@stdlib/math/base/special/tand/README.md +++ b/lib/node_modules/@stdlib/math/base/special/tand/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [tangent][trigonometric-functions] of an angle measured in degrees is computed as + + + +```math +y = \tan\left(\frac{\pi x}{180}\right) +``` + + +
diff --git a/lib/node_modules/@stdlib/math/base/special/tandf/README.md b/lib/node_modules/@stdlib/math/base/special/tandf/README.md index edfbfa62d267..33ecd4ead5f5 100644 --- a/lib/node_modules/@stdlib/math/base/special/tandf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/tandf/README.md @@ -24,6 +24,16 @@ limitations under the License.
+The [tangent][trigonometric-functions] of an angle measured in degrees is computed as + + + +```math +y = \tan\left(\frac{\pi x}{180}\right) +``` + + +