Home
Class 12
MATHS
Let G Let G be the sum of infinite geome...

Let G Let G be the sum of infinite geometric series whose first term is `sintheta` and common ratio is `costheta`, while G' be the sum of a different infinite geometric series whose first term `costheta` and common ratio is `sintheta`. Find the number of solutions of the equation, `G=G'` in `[0, 2pi]` is

Promotional Banner

Similar Questions

Explore conceptually related problems

The sum of an infinite geometric series is 6. If its first terms is 2, find its common ratio.

Consider an infinite geometric series with first term a and common ratio r. if the sum is 4 and the sencond term is 3/4 ,then

Consider an infinite geometric series with first term 'a' and common ratio 'r'. If the sum is 4 and the second term is 3/4 then

Consider an infinite geometric series with first term a and common ratio r, if its sum is 4 and the second term is 3/4 then

Consider an infinite geometric series with first term a and common ratio r. If its sum is 4 and the second term is ( 3)/( 4) , then :

Suppose x and y are real numbers such that -1lt xlt ylt 1 . Let G be the sum of the geometric series whose first term is x and whose common ratio is y, and let G' be the sum of the geometric series whose first term is y and common ratio is x. If G=Gʻ, then the value of (x +y)

In an infinite geometric series the first term is a and common ratio is r . If the sum of the series is 4 and the seond term is 3/4 , then (a, r) is

Consider an infinite geometric series with first term a and common ratio r. If its sum is 4 and the second term is 3/4, then

Let S_(k) , be the sum of an infinite geometric series whose first term is kand common ratio is (k)/(k+1)(kgt0) . Then the value of sum_(k=1)^(oo)(-1)^(k)/(S_(k)) is equal to

Let s_k, k=1,2,3,…,100 denote the sum of the infinite geometric series whose first term is (k-1)/|___k and the common ratio is 1/k . Then, the value of is