Home
Class 12
MATHS
Let f(theta)=1/(tan^2theta){(1+tantheta)...

Let `f(theta)=1/(tan^2theta){(1+tantheta)^3+(2+tantheta)^3+......+(10+tan theta)^3}-10 tan theta` Then, `lim_(theta->pi/2)f(theta)` is equal to

A

`170`

B

166

C

165

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|39 Videos

  • LIMITS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|15 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

  • LOGARITHM AND THEIR PROPERTIES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

Similar Questions

Explore conceptually related problems

If tan theta + tan (60^@+ theta) + tan (120^@ + theta)=3 then theta =

tantheta+tan(6 0^0+theta)+tan(12 0^0+theta)=3tan3theta

tantheta+tan(6 0^0+theta)+tan(12 0^0+theta)=3tan3theta

Prove that (tan^2 (2theta)-tan^2 theta)/(1-tan^2 (2theta) tan^2 theta)=tan (3theta)tan theta

If tantheta+tan(theta+pi/3)+tan(theta-pi/3)=ktan3theta then k is equal to

Evaluate: int(tantheta+tan^3theta)/(1+tan^3theta)d theta

If "tan" 2 theta "tan" theta =1, "then" theta =

Solve : tan 3theta tan 2 theta = 1

Prove that (1+sin2theta)/(1-sin2theta)=((1+tantheta)/(1-tan theta))^(2)

If tan 3 theta + tan theta =2 tan 2 theta , then theta is equal to (n in Z)