Home
Class 10
MATHS
(tan^(3)theta-1)/(tantheta-1)= ....

`(tan^(3)theta-1)/(tantheta-1)`= ________.

A

`sec^(2) theta+ tantheta`

B

`sec^(2)theta-tantheta`

C

0

D

`tantheta-sec^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
A
Use `a^(3)-b^(3)=(a-b)(a^(2)+ab+b^(2))`.
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 2|17 Videos

  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Level 3|18 Videos

  • TRIGONOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Essay type Questions|2 Videos

  • TAXATION

    PEARSON IIT JEE FOUNDATION|Exercise LEVEL 3|10 Videos

Similar Questions

Explore conceptually related problems

Solve: tan^(3)theta-3tantheta=0

Prove: (tan^(3)theta-1)/(tan theta-1)=sec^(2)theta+tan theta .

(tan3 theta-1)/(tan3 theta+1)=sqrt(3), then the general value of theta

If : (tan 3 theta - 1)/(tan 3 theta + 1) = sqrt(3) , then : theta =

Solve: tan3theta+tantheta=0

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

If tantheta+(1)/(tantheta)=2 then the value of tan^(2)theta+(1)/(tan^(2)theta) is equal to :

If tan theta+tan(60^(@)+theta)+tan(120^(@)+theta)=3, Prove that: (3tantheta-tan^(3)theta)/(1-3tan^(2)theta)=1