If x=cosalpha+isinalpha,y=cosbeta+isinbe...

If `x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "x^(m).y^(n)+(1)/(x^(m).y^(n))`

`2cos(malpha+nbeta)`

`2cos(malpha-nbeta)`

`2sin(malpha+nbeta)`

`2sin(malpha-nbeta)`

Text Solution

Verified by Experts

Topper's Solved these Questions

DE MOIVRE'S THEOREM
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1|5 Videos
DE MOIVRE'S THEOREM
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2|3 Videos
DE MOIVRE'S THEOREM
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos
COORDINATE SYSTEM (3D)
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET- 4)|3 Videos
DEFINITE INTEGRATION
DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-4)|8 Videos

Similar Questions

Explore conceptually related problems

If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "(x-y)/(x+y)

If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "(x)/(y)+(y)/(x)

If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "(x)/(y)-(y)/(x)

If x=cos alpha+i sin alpha,y=cos beta+isinbeta, then x/y-y/x=

If x=cos alpha+i sin alpha,y=cos beta+isinbeta, then (x-y)/(x+y)=

If x+iy=(cosalpha+isinalpha)(cosbeta+isinbeta) then value of x^(2)+y^(2)

If m, n integers and x = cos alpha + i sin alpha , y = cos beta + i sin beta, then prove that x^(m) y^(n) + 1/(x^(m)y^(n)) = 2 cos ( m alpha + n beta) " and " x^(m) y^(n) - 1/(x^(m) y^(n)) = 2 i sin ( m alpha + n beta) .

Match the following. {:(Column-I," "Column-II),(I" : "x=costheta+isintheta" then "x^n-(1)/(x^n),"a) "2isin(alpha-beta)),(II" : If " z=costheta+sintheta" then "(z^n-1)/(z^(2n)+1),"b) "2cos(alpha-beta)),(III" : "x=cisalpha","y=cisbeta" then "x/y+y/x=,"c) "itanntheta),(IV " : " x=cisalpha","y=cisbeta" then "x/y-y/x=,"d) "2iSinntheta):}

If x=asec^(n)theta,y=btan^(n)theta then ((x)/(a))^(2//n)-((y)/(b))^(2//n)=

If x= a sec^(n) theta , y = b tan^(n) theta then (x/a)^(2//n) -(y/b)^(2//n)=

DIPTI PUBLICATION ( AP EAMET)-DE MOIVRE'S THEOREM-EXERCISE 1

If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "(x)/(y)-(y)/(x)
Text Solution
|
If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "(x-y)/(x+y)
Text Solution
|
If x=cosalpha+isinalpha,y=cosbeta+isinbeta," then "x^(m).y^(n)+(1)/(x^...
Text Solution
|
If p=cos2alpha+isin2alpha,q=cos2beta+isin2beta" then "sqrt(p//q)-sqrt(...
Text Solution
|
If x+1/x=2cos alpha,y+1/y=2cos beta, then xy+(1)/(xy)=
Text Solution
|
If alphaandbeta are the roots of the equation x^(2)-x+1=0" then "alpha...
Text Solution
|
If alphaandbeta are the roots of x^(2)-2x+4=0" then "alpha^(n)+beta^(n...
Text Solution
|
If alphaandbeta are the roots of x^(2)-2x+4=0" then "alpha^(n)-beta^(n...
Text Solution
|
If alpha,beta are roots of the equation x^(2)-4x+8=0 then for any ninN...
Text Solution
|
If alphaandbeta are the roots of x^(2)-2x+4=0, then the value of alpha...
Text Solution
|
If x satisfies the equation x^(2)-2xcostheta+1=0, then the value of x^...
Text Solution
|
If a=cos4pi//3+isin4pi//3" then "(1+a)^(3n)
Text Solution
|
If cosalpha+cosbeta=0=sinalpha+sinbeta" then "cos2alpha+cos2beta
Text Solution
|
If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "cos3al...
Text Solution
|
If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma" then "sin3al...
Text Solution
|
If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...
Text Solution
|
If cosalpha+cosbeta+cosgamma=0=sin alpha+sinbeta+singamma then cos^2al...
Text Solution
|
If cos alpha+cosbeta+cosgamma = 0 = sinalpha + sinbeta + singamma then...
Text Solution
|
If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then cos(2alp...
Text Solution
|
If cosalpha+cosbeta+cosgamma=0=sinalpha+sinbeta+singamma then sin(2alp...
Text Solution
|