Asymptotes of secant, cosecant and cotangent graphs and their transformations, examples and step by step solutions, Trigonometry
the cosecant will be undefined, because we can't divide by zero. The sine function has a value of zero at every multiple ofπ, so the cosecant function will have a vertical asymptote at every multiple ofπ. The sine function waves itself along between they-values of−1and+1. The rec...
If, for all values of x, the value of a function at x + p is equal to the value at x --If f(x + p) = f(x)-- then we say that the function is periodic and has period p.The graph of y = sin xThe zeros of y = sin x are at the multiples of π. It is there that...
For certain values of x, the tangent, cotangent, secant and cosecant curves are not defined, and so there is a gap in the curve.[For more on this topic, go to Continuous and Discontinuous Functions in an earlier chapter.]Recall from Trigonometric Functions, that tanxtanx is defined ...
d/dx. Cotx = -Cosec2x d/dx.Secx = Secx.Tanx d/dx. Cosecx = - Cosecx.Cotx What are the Applications of Trigonometric Functions? The trigonometric functions have numerous applications in calculuscoordinate geometryalgebra. Theslope of a line, the normal form of the equation of a lie, para...
Cosecant numbersCosecant polynomialsDivergent seriesEuler-Maclaurin summation formulaA countable set X with a fixed set of finite or countable subsets covering X is considered to solve the recovery problem that includes finding conditions under which the original function f (x) on the set of points...
cosecant period: 2pi amp: no amp domain: all real numbers, excluding multiples of 180 (pi) range: y is greater than or equal to 1; y is less than or equal to -1 secant period: 2pi amp: none domain: all real numbers, excluding odd integer multiples of 90 (pi/2) ...