Home
Class 11
MATHS
Give the following quotients in polar fo...

Give the following quotients in polar form:
(i) `(9(cos90^(@)+isin90^(@)))/(3(cos45^(@)+isin45^(@)))`
(ii) `(7(cos135^(@)+isin135^(@)))/(14(cos90^(@)+isin90^(@)))`.

Text Solution

Verified by Experts

The correct Answer is:
(i) `3("cos"(pi)/(4)+"isin"(pi)/(4))`
(ii) `(1)/(2)("cos"(pi)/(4)+"isin"(pi)/(4))`.
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (j) Long Answer Type Questions|12 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS MULTIPLE CHOICE QUESTION (A)|25 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Exercise 5 (i) Short Answer Type Questions|4 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise COMPETITION FILE (JEE MAIN)|11 Videos

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|12 Videos

Similar Questions

Explore conceptually related problems

Give the following quotients in polar form: (9(cos90^0+isin90^0))/(3(cos45^0+isin45^0)

Re [((cos2^(@)+isin2^(@))^(100)(cos5^(@)+isin5^(@))^(200))/((cos10^(@)+isin10^(@))^(126))]

Give the following products in polar form: [2(cos0^0+isin0^0][4(cos90^0+isin90^0)]

Give the following in polar form: (i) sin120^(@)-icos120^(@) (ii) [2cos210^(@)+isin210^(@))][4(cos120^(@)+isin120^(@))] (iii) [3(cos225^(@)+isin225^(@))][6(cos45^(@)+isin45^(@))] .

Give the following products in polar form: [2(cos 210^0+isin210^0)][4(cos120^0+isin120^0)]

Write down the following complex number in polar form: Product of 2(cos30^(@)+i sin30^(@)) and 3(cos90^(@)+i sin90^(@))

The value of (4(cos75^(@) + isin 75^(@)))/(0.4(cos30^(@) + i sin 30^(@))) is :

(sin30^(@))/(cos45^(@))+(cot45^(@))/(sec60^(@))-(sin60^(@))/(tan45^(@))+(cos30^(@))/(sin90^(@))=