The hyperbolic version of this function is equal to one-half times the quantity e to the z plus e to the negative z, and the Taylor series expansion of it is negative one to the n times z to the two n divided by quantity two n factorial.
The hyperbolic version of this function is equal to one-half times the quantity e to the z plus e to the negative z, and the Taylor series expansion of it is negative one to the n times z to the two n divided by quantity two n factorial. For an object on an inclined plane, the normal force is balanced by a term that includes this function, which also appears with force and displacement in a formula for calculating work. A namesake law states c squared equals a squared plus b squared minus two a b times this function, which is the reciprocal of secant, and whose derivative is negative sine. For 10 points, name this trigonometric function that is the ratio of the length of the adjacent side to the hypotenuse in a right triangle.
The hyperbolic version of this function is equal to one-half times the quantity e to the z plus e to the negative z, and the Taylor series expansion of it is negative one to the n times z to the two n divided by quantity two n factorial.
{cos}ine