Home
Class 12
MATHS
(1+costheta-isintheta)^(n)...

`(1+costheta-isintheta)^(n)`

A

`2^ncos^n((theta)/(2))cis(ntheta)/(2)`

B

`2^ncos^n((theta)/(2))cis (-(ntheta)/(2))`

C

`2^nsin^n(theta/2) cis(ntheta)/(2)`

D

`2^nsin^n(theta/2)-cis(ntheta)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise EXERCISE -II|58 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|64 Videos

  • DEMOIVRE'S THEOREM

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|7 Videos

  • DEFINITE INTEGRALS

    AAKASH SERIES|Exercise Exercise (Level-2)|38 Videos

  • DIFFERENTIAL EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|62 Videos

Similar Questions

Explore conceptually related problems

(1-costheta+isintheta)^(6)

(1+costheta-isintheta)^4 =

(costheta+isintheta)^(10)+(costheta-isintheta)^(10)

((costheta+isintheta)^(5)(cos3theta-isin3theta)^(6))/((cos2theta+isin2theta)^(3)(cos4theta-isin4theta)^(5))

(1-costheta+isintheta)^8 =

(1-costheta+isintheta)^6 =

If ((1+costheta+isintheta)/(sintheta+i+icostheta))^(4)=cosntheta+isinntheta then n=

If (1+costheta-isintheta)(1+cos2theta+isin2theta)=x+iy then x^2+y^2 =

Simplify the following ((costheta-isintheta)^7)/((sin2theta-icos2theta)^4)

((costheta+isintheta)^5(cos3theta-isin3theta)^6)/((cos2theta+isin2theta)^3(cos4theta-isin4theta)^5)=