Modular arithmetics

Show that z and iz have the same modulus. How are the graphs of these two numbers related?

vector operations please check this for me thanks

given vector v with /v/ = 4 and direction angle of 45 degrees, write v in the form a= 4cos 45 degrees= 4*.707=2.83 b= 4sin 45 degrees= 4*.707=2.83 vector v (a,b) becomes v(2.83, 2.83) compute (2*w).(u-v) where w = <-1, 0> 2(2<100)(5<60-4<45) 2*2<180*1.536<102.5 =6.144<282.5 or 6.144<-77.5degrees vector from equation is it R(1.33,-6.00)

Terminal side

Find the values of csc0, sec0 and cot0 for the angle 0 in standard position having point(4,-2) on its terminal side a. csc0=-2/sqrt5,sec0=2/sqrt5,cot0=-1/2 b. csc0=-2*sqrt5,sec0=sqrt5,cot0=1/2 c.csc0=sqrt5,sec0=2/sqrt5,cot0=-2 d.csc0=-sqrt5,sec0=sqrt5/2,cot0=-2

Complex expression

(5+i).(3-5*i)

Trigonometric functions

Express each of the six functions (ratios) in terms of angle A. Derive Sin,Cos,Tan,Cot and Cosec from a right triangle.