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if z =cosπ/4+isinπ/6then find mod z and arg(z) the centre of the square ABCD is at the origin .A is a point (2,1) let Bbe (α,β) product of the possible value of β is product of the possible value of 2α is a possible value of 1/3(α-β) is


  • if z =cosπ/4+isinπ/6then find mod z and arg(z)

  • the centre of the square ABCD is at the origin .A is a point (2,1) let Bbe (α,β)


product of the possible value of β is


product of the possible value of 2α is


a possible value of 1/3(α-β) is

Grade:12

1 Answers

Rathod Shankar AskiitiansExpert-IITB
69 Points
13 years ago

1)

 

mod z= |  sin(π/6) / cos(π/4)|      calculate this by calculator u will get the answer

arg(z) =    tan-1 (sin(π/6) / cos(π/4))  

 

2)  draw the square (0,0) at origin define a A in the 1st quadrant because it has x as +ve and y also +ve

now go do define BCD from A point

u will find      B  by going anticlockwise from A.

or u will find      B   by going clockwise from A.

alpha has to be  first coordinate

beta has to be second coordinate

 

but this is square and how do we define square with A(2,1). it has to have 45 degree angles from origin to A because origin is its centre point.






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