If tan theta=sqrt(3/2) and the sum of t...

If `tan theta=sqrt(3/2)` and the sum of the infinite series `1+2(1-cos theta)+3(1-cos theta)^2+4(1-cos theta)^3+.........+oo` is `lambda/2` then the value of `lambda` is (1) 2 (2) 5 (3) 1 (4) 4

Verified by Experts

The correct Answer is:

5

Similar Questions

Explore conceptually related problems

If tan theta=sqrt((3)/(2)), then the sum of the infinite series 1+2(1-cos theta)+3(1-cos theta)^(2)+4(1-cos theta)^(3)+......

cos theta cos2 theta cos3 theta=(1)/(4)

If cos ec^(2)theta(1+cos theta)(1-cos theta)=lambda, then find the value of lambda.

sin^4 theta=3/8-1/2cos2theta+1/8cos 4theta

If sin theta_(1)+sin theta_(2)+sin theta_(3), then find the value of cos theta_(1)+cos theta_(2)+cos theta_(3)

If sin^(2)theta cos^(2)theta(1+tan^(2)theta)(1+cot^(2)theta)=lambda then find the value of lambda.

If sin^(6) theta + cos^(6) theta -1 = lambda sin^(2) theta cos^(2) theta then the value of lambda is

If pi

If tan theta = (3)/(4) , find the value of ((1 - cos^(2) theta)/(1 + cos^(2) theta))