State the domain and range for the following functions so that the functions can have its inverse function: (a) f(x)=sin x Domain: Range: g(x) = sin x Range: Domain: (b) ƒ(x)=cosx Domain: Range: g(x)=cos x Domain: Range: (e) f(x)=tan x Range: Domain: gx) = tan"" x Range: Domain: (d) f(x)=cotx Domain: Range: Range: g(1)= cotx Domain:

Q: cos(x) Find the derivative of cot(x) by using sin(x) the quotient rule on this form, and then…

A: Cotx=cosx/sinx

Q: of f(x)=tan π/3( x−2)+3 in interval notation.

A:

Q: Consider the inverse tangent function y = tan-1 x, or y = arctan x. (a) What is its domain? (b) What…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: The derivative of the function ()100 is equal to Select one: 100 a-100) cos x 99 O b-100( cos x exin…

A: According to our guidelines we are allowed to solve one question. We’ll answer the second question…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.