Mod(z-25i)<15, Mathematics

Assignment Help:

Mod(Z-25i)<15 then diffrence of min,max of argZ
 

Sol) mod (Z-25i)<15,
means Z lies in the circumference of the circle with (0,25) at its centre and radius less then 15.
so difference in the max and min value of arg Z is given by the angle between the common tangents to the circle from origin.
the length of the tangents are 20 units( root  [(25)^2 - (15)^2])

Hence the angle between y axis and a tangent is tan inverse (15/20) = tan inverse 3/4=37 degree.
hence the total diff. = angle between the tangents = 2 times the angle between the y axis and one of the tangents.

   =2.37=74 degree or 2.[tan inverse 3/4]

= 74 degree or [tan inverse (24/7) ]


Related Discussions:- Mod(z-25i)<15

Shares and dividends, I have a maths assignment as- Use a newspaper to stud...

I have a maths assignment as- Use a newspaper to study and give a report on shares and dividends.

Applying quadratics math question, A boat tour company charges $11 for a ha...

A boat tour company charges $11 for a harbour tour and averages 450 passengers on Saturdays. Over the past few months, the company has been experimenting with the price of a tour a

Why is it important the the enlightenment grew out, Why is it important the...

Why is it important the the Enlightenment grew out of the salons and other meeting places of Europe? Who was leading the charge? Why was this significant? Where there any names or

Define a complete lattice, Define a complete lattice and give one example. ...

Define a complete lattice and give one example. Ans:  A lattice (L, ≤) is said to be a complete lattice if, and only if every non-empty subset S of L has a greatest lower bound

Simplification, if a+1/b=b+1/c=c+1/a then the value of abc is

if a+1/b=b+1/c=c+1/a then the value of abc is

Game theory, Game Theory It is used to find out the optimum strategy in...

Game Theory It is used to find out the optimum strategy in a competitive condition,While two or more competitors are engaged in making decisions, this may occupy conflict of in

MATH HELP: URGENT, the andersons are buying a new home and need to fence th...

the andersons are buying a new home and need to fence their yard. the yard is 40 ft by 80 ft. each fencing section is 8ft. how many sections will they need?how many posts will they

If an item costs $1.45 to what amount will louise round, Louise is estimati...

Louise is estimating the cost of the groceries in her cart. She rounds the cost of every item to the nearest dollar to form her calculations. If an item costs $1.45, to what amount

Find out height of the box which will give maximum volume, We contain a pie...

We contain a piece of cardboard i.e. 14 inches by 10 inches & we're going to cut out the corners as illustrates below and fold up the sides to form a box, also illustrated below. F

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd