complex!

express in polar form
1.1 +itanA
2.tanA-i
3.1-sinA+icosA

11 Answers

1
archana anand ·

1) 2(e2iA)/(e2iA+1)
2) 2(e2iA*e-ipi/2)/(e2iA+1)
3rd one donno

62
Lokesh Verma ·

1 +itanA = sec A (cosA +i sin A)

this will be the polar form

R. eiθ

in the first part, R=sec A

Theta=A

now can you try the remaining two parts?

1
archana anand ·

but bhaiya v can write cos A=(eiA+e-iA)/2..........so sec A itz reciprocal.see#2...arnt v suppose to write dat fully in polar form...or v can leave our answer in term of secA.

62
Lokesh Verma ·

yup archana.. i din notice that :)

good work :)

1
JOHNCENA IS BACK ·

2.secA[cos{tan-1(1/tanA)}+i sin{tan-1(1/tanA)}]
3.√{2(1-sinA)}[cos{tan-1(secA+tanA)}+isin{tan-1(secA+tanA)}]

sir,i have noticed the form in which archana gAVE ANS.I NEVER SAW SUCH POLAR FORM IS IT CORRECT.

1
JOHNCENA IS BACK ·

nishant sir plz tell the answers to 2nd and 3rd are correct or not,as ans.
is not given in book.

1
JOHNCENA IS BACK ·

nishant sir,plz reply whether answer i wrote in#6 is correct as ans. r not given in book.

also,i have noticed the form in which archana gAVE ANS.I NEVER SAW SUCH POLAR FORM IS IT CORRECT

62
Lokesh Verma ·

yes john they are right :)

1
JOHNCENA IS BACK ·

i have noticed the form in which archana gAVE ANS.I NEVER SAW SUCH POLAR FORM IS IT CORRECT

1
JOHNCENA IS BACK ·

plz see #2.
i have noticed the form in which archana gAVE ANS.I NEVER SAW SUCH POLAR FORM IS IT CORRECT

1
archana anand ·

yes john ma answers r absolutly correct
actually u can write any of the above given form as |z|eia which is called polar form......for example (5cos a+i5 sin a) can b written as 5√2eia got it...& in above questions |z|=1

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