Domain Of Cscx Math
In calculus the derivative of csc x is csc x cot x.
Domain of cscx math. Infinity 1 u 1 infinity period 2pi symmetry. Cscx is defined wherever sinx 0 x nπ n z. Then since y has no upper or lower bounds its range is. Check it for me pleaseee question 1 a how do you know whether a relation is a function 1 point by determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements.
Find the magnitude of the trig term csc x csc x by taking the absolute value of the coefficient. Hence the domain of y is all x r x nπ n z. The domain is all values of x x that make the expression defined. X πn x π n for any integer n n.
This means that at any value of x the rate of change or slope of csc x is csc x cot x. All real numbers except k pi k is an integer. Free math problem solver answers your algebra geometry trigonometry calculus and statistics homework questions with step by step explanations just like a math tutor. And the local minima of y are 1 1 1.
1 sinx 1 x r. For more on this see derivatives of trigonometric functions together with the derivatives of other trig functions. X x πn x x π n for any integer n n. See also the calculus table of contents.
So we solve sin x 0 and get x 0 π n where n z. 1 1. Domain and range of cosecant and secant trigonometry functions by mary jane sterling the cosecant and secant functions are closely tied to sine and cosine because they re the respective reciprocals. That means the domain of y csc x is x r x π n n z.
In reference to the coordinate plane cosecant is r y and secant is r x.