Home
Class 11
MATHS
Let f(theta)=(1)/(1+(cottheta)^(x))andS=...

Let `f(theta)=(1)/(1+(cottheta)^(x))andS=sum_(theta=1^(o))^(89^(@))f(theta)`. Then the value of `sqrt(2S-8)` =

A

8

B

9

C

10

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE) (LEVEL - II (ADVANCED) (MORE THAN ONE CORRECT ANSWER TYPE QUESTIONS)|9 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise PRATICE SHEET (EXERCISE) (LEVEL-I(MAIN) (SINGLE ANSWER TYPE QUESTIONS)|47 Videos
  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos
  • TRIGONOMETRIC EQUATIONS

    AAKASH SERIES|Exercise Practice Exercise|49 Videos
  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Practice Exercise|34 Videos

Similar Questions

Explore conceptually related problems

Let f(theta) =(cot theta)/(1+ cot theta) and alpha + beta=(5pi)/4 , then the value of f(alpha)f(beta) is:

tan^(2)theta-(1)/(2)tan^(4)theta+(1)/(3)tan^(6)theta-(1)/(4)tan^(8)theta+....=

Range of f(theta) = cos^(2) theta(cos^(2) theta + 1) + 2 sin^(2) theta is

Let f:(-1,1) rarr R be such that f(cos 4 theta) = (2)/(2-sec^(2) theta) for theta in (0, pi/4) uu (pi/4, pi/2) . Then the value of f(1/3) is (are)

If f(theta) = sin(tan^(-1)(("sin theta)/(sqrt(cos 2 theta)))) , where -pi/4 lt theta lt pi/4 , then the value of d/(d(tan theta)) f(theta) is

IF cos theta ne 0, and sec theta-1=(sqrt2-1) tan theta then theta=

If sqrt3 tan theta=1 then theta=

Let f_(n)(theta)= tan""(theta)/2(1+sectheta)(1+sec2theta)(1+sec4theta).....(1+sec2^(n) theta) ,then f_(2)(pi/16)+f_(3)((pi)/32)+f_(4)(pi/64)+f_5(pi/128) =