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

Division problem, Raul has 56 bouncy balls. He puts three times as many bal...

Raul has 56 bouncy balls. He puts three times as many balls into red gift bags as he puts into green gift bags. If he puts the same number of balls in each bag, how many balls does

Compound and simple interest, Your grandparents gave you a gift of R2 000 o...

Your grandparents gave you a gift of R2 000 on your 16th birth day. You want to invest the money in an account over four years. You have an option of investing the R2 000 at 8% per

Equivelent ratios, if 2 ballons cost 12 coins,use equivelent ratios to see ...

if 2 ballons cost 12 coins,use equivelent ratios to see how many coins 8 ballons would cost

Linear function, find the temperature at which the celsius and farhenheit t...

find the temperature at which the celsius and farhenheit temperatures are numerically equl

Integrals involving trig functions - integration techniques, Integrals Invo...

Integrals Involving Trig Functions - Integration techniques In this part we are going to come across at quite a few integrals that are including trig functions and few metho

Find the area of shaded region, Find the area of shaded region, if the side...

Find the area of shaded region, if the side of square is 28cm and radius of the sector is ½ the length of side of square.

We know this equation a°=1.prove this?, we know that log1 to any base =0 ta...

we know that log1 to any base =0 take antilog threfore a 0 =1

Function and relation, how to know if it is function and if is relation

how to know if it is function and if is relation

Geometry, the segments shown could form a triangle

the segments shown could form a triangle

Math makes sense pg 261 #3 c., A seahorse layes about 200 eggs.How would yo...

A seahorse layes about 200 eggs.How would you include this data on your pictograph.would you need to change anything.Explain the change.show your work.

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