Prove that : (tan^(3) theta)/(1+tan^(2)t...

Prove that : `(tan^(3) theta)/(1+tan^(2)theta) +(cot^(3)theta)/(1+cot^(2)theta) = sec theta "cosec " theta - 2 sin theta cos theta `.

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

DIKSHA QUESTIONS
OSWAL PUBLICATION|Exercise UNIT -V: Trigonometry (Heights and Distances) (MULTIPLE CHOICE QUESTIONS)|3 Videos
DIKSHA QUESTIONS
OSWAL PUBLICATION|Exercise UNIT -V: Trigonometry (Heights and Distances) (VERY SHORT ANSWER TYPE QUESTIONS)|13 Videos
DIKSHA QUESTIONS
OSWAL PUBLICATION|Exercise UNIT -V: Trigonometry (Introduction to Trigonometry ) (VERY SHORT ANSWER TYPE QUESTIONS )|15 Videos
COORDINATE GEOMETRY
OSWAL PUBLICATION|Exercise SELF ASSESSMENT |20 Videos
INTRODUCTION TO TRIGONOMETRY
OSWAL PUBLICATION|Exercise Self - Assessment |15 Videos

Similar Questions

Explore conceptually related problems

Prove: (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=sec theta cos ec theta-2sin theta cos theta

Prove that (tan^(3)theta)/(1+tan^(2)theta)+(cot^(3)theta)/(1+cot^(2)theta)=sec theta cos ec theta-2sin theta cos theta

Prove that: (tan theta)/(1 - cot theta) + (cot theta)/(1 - tan theta) = 1 sec theta "cosec" theta - 1 + tan theta + cot theta .

Prove that : (tan theta)/(1 - cot theta) + (cot theta)/(1 - tan theta) = 1 + sec theta cosec theta .

(tan theta)/((1+tan^(2)theta)^(2))+(cot theta)/((1+cot^(2)theta)^(2))=sin theta cos theta

Prove that : (tan theta)/(1 -cot theta) + (cot theta)/(1- tan theta) = 1 + cos theta cosec theta

Prove that: sin theta(1+ tan theta) + cos theta (1+ cot theta) = sec theta + "cosec" theta

Prove that: (sin theta)/(1 - cos theta) + (tan theta)/(1 + cos theta) = cosec theta + cot theta + sec theta cosec theta - cosec theta

Prove that: 1-(sin^(2)theta)/(1+cot theta)-(cos^(2)theta)/(1+tan theta)=sin theta cos theta

prove that: (tan theta)/(1-cot theta)+(cot theta)/(1-tan theta)=1+sec theta cosec theta

OSWAL PUBLICATION-DIKSHA QUESTIONS -UNIT -V: Trigonometry (Introduction to Trigonometry ) (Long Answer Type Questions)

Prove that : (tan^(3) theta)/(1+tan^(2)theta) +(cot^(3)theta)/(1+cot^(...
03:18
|
if secA=x+1/(4x) then prove that secA+tanA=2x , 1/(2x)
03:28
|
If sin(A+B) =1 and tan(A-B) =1/(sqrt(3)), 0^@ltA,Blt90^@, find the val...
01:42
|
If sin(A+B) =1 and tan(A-B) =1/(sqrt(3)), 0^@ltA,Blt90^@, find the val...
01:56
|
If sintheta=(12)/(13) , find the value of (sin^2theta-cos^2theta)/(...
03:57
|
Show that : 1/(sec A-tan A) - 1/(cos A) = 1/(cos A) - 1/(sec A + tan A...
04:10
|
sec^(2)theta-(sin^(2)theta-2sin^(4)theta)/(2cos^(4)theta-cos^(2)theta)...
02:10
|
If sectheta + tantheta = p, then find the value of cosectheta.
05:49
|
Prove that: (sin theta - 2 sin^(3) theta) = (2cos^(3) theta - cos the...
03:01
|