Home
Class 12
MATHS
If x= sum(n=0)^oo (Costheta)^(2n) , y= s...

If `x= sum_(n=0)^oo (Costheta)^(2n) , y= sum_(n=0)^oo (Sinphi)^(2n) , z= sum_(n=0)^oo (Cosphi)^(2n). (Sintheta)^(2n)` Then which of the following is true ??

A

`xy+z=xyz`

B

`xy-z=(x+y)z`

C

`xyz=4`

D

`xy+zy+zx=z`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

sum_ (n = 0)^(oo) ((2i)/(3))^(n) =

If x=sum_(n=0)^(oo) a^(n),y=sum_(n=0)^(oo)b^(n),z=sum_(n=0)^(oo)(ab)^(n) , where a,blt1 , then

Let C(theta)=sum_(n=0)^(oo) (cos(ntheta))/(n!) Which of the following statements is FALSE ?

let 0

Let x= sum_(n=0)^oo (-1)^n (tantheta)^(2n) and y = sum_(n=0)^oo (costheta)^(2n) qhere theta in (0,pi/4) , then

If 0 lt theta, phi lt (pi)/(2), x = sum_(n=0)^(oo)cos^(2n)theta, y=sum_(n=0)^(oo)sin^(2n)phi and z=sum_(n=0)^(oo)cos^(2n)theta*sin^(2n)phi then :

If a=sum_(n=0)^(oo)x^(n),b=sum_(n=0)^(oo)y^(n),c=sum_(n=0)^(oo)(xy)^(n) where |x|,|y|<1 then

If a=sum_(n=0)^(oo)x^(n),b=sum_(n=0)^(oo)y^(n),c=sum_(n=0)^(oo)(xy)^(n) where |x|,|y|<1 then