WebThis is false. While the graphs of secant and cosecant functions are related, in order to turn a secant function into a cosecant function, you'd need to translate the original graph units to the right to obtain a cosecant graph. WebExample 1: Find the domain and range of y = 3 tan x. Solution: We know that the domain and range of trigonometric function tan x is given by, Domain = R - (2n + 1)π/2, Range = (-∞, +∞) Note that the domain is given by the values that x can take, therefore the domains of tan x and 3 tan x are the same. Hence the domain of y = 3 tan x is R ...
2.7.1: Graphing Tangent, Cotangent, Secant and Cosecant
WebTrigonometry. Find the Other Trig Values in Quadrant I csc (theta)=8/7. csc(θ) = 8 7 csc ( θ) = 8 7. Use the definition of cosecant to find the known sides of the unit circle right … WebOct 27, 2024 · Cosec Graph. Where the sine graph crosses the x-axis on the cosecant graph, there are vertical asymptotes at each value of x. Graph of y = csc x function show below: For the function y = a csc b x … how to replace a defective circuit breaker
5.1: Graphing the Trigonometric Functions - Mathematics LibreTexts
WebJan 18, 2024 · The csc function or the cosecant formula is: {eq}csc \theta= \frac{Hypo.}{Opp.} {/eq} So to recall the cosecant definition or what cosecant is, think of the reciprocal process of the sine function. WebSimilar to the secant, the cosecant is defined by the reciprocal identity csc x = 1 sin x. csc x = 1 sin x. Notice that the function is undefined when the sine is 0, leading to a vertical asymptote in the graph at 0, 0, π, π, etc. Since the sine is never more than 1 in absolute value, the cosecant, being the reciprocal, will never be less than 1 in absolute value. WebCosecant is one of the main six trigonometric functions and is abbreviated as csc x or cosec x, where x is the angle. In a right-angled triangle, cosecant is equal to the ratio of the hypotenuse and perpendicular. ... how to replace a dell computer battery