If sin 2 theta=k then the value of (tan^...

If `sin 2 theta=k` then the value of `(tan^(3) theta)/(1+tan^(2) theta)+(cot^(3) theta)/(1+cot^(2) theta)=`

A

`(1-k^(2))/(k)`

B

`(2-k^(2))/(k)`

C

`k^(2)+1`

D

`2-k^(2)`

Text Solution

Verified by Experts

The correct Answer is:

B

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

REVISION EXERCISE
AAKASH SERIES|Exercise TRANSFORMATIONS AND IDENTITIES|14 Videos
REVISION EXERCISE
AAKASH SERIES|Exercise PERIOICITY, EXTREME VALUES AND GRAPHS|14 Videos
REVISION EXERCISE
AAKASH SERIES|Exercise COMPOUND ANGLES|12 Videos
REAL FUNCTIONS
AAKASH SERIES|Exercise EXERCISE-1|34 Videos
STRAIGHT LINES
AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

Similar Questions

Explore conceptually related problems

(cos theta)/(1 - tan theta) + (sin theta)/(1 - cot theta) =……...

If tan^(2) theta + cot^(2) theta = 2 then

Knowledge Check

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

A

`1+ tan theta * cot theta `

B

`1+ sin theta * cos theta `

C

`1+ sec theta * " cosec " theta `

D

`1+ cos theta* tan theta `

"cosec"^(2) theta * cot^(2) theta -sec^(2) theta * tan^(2) theta - (cot^(2) theta - tan^(2) theta ) (sec^(2) theta * "cosec"^(2) theta -1)=

A

1

B

0

C

2

D

`-1`

The value of tan^(-1)((x cos theta)/(1-x sin theta))-cot^(-1)((cos theta)/(x-sin theta)) is

A

`2 theta`

B

`theta`

C

`theta//2`

D

Independent of `theta`

Similar Questions

Explore conceptually related problems

If tan theta + cot theta = 2, find the value of tan^2 theta + cot^2 theta .

If tan^(2) theta=1- k^(2) then sec theta+ tan^(3) theta "cosec" theta=

If tan^(2)theta = 3 cosec^(2)theta - 1 then theta =

If (tan theta - 1)(tan^(2)theta - 3) = 0 then theta =

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

AAKASH SERIES-REVISION EXERCISE-MULTIPLE & SUB MULTIPLE ANGLES

If sin 2 theta=k then the value of (tan^(3) theta)/(1+tan^(2) theta)+(...
02:37
|
If sin alpha+ cos alpha= m then sin^(6)( alpha)+ cos^(6) (alpha)=
06:27
|
If tan((alpha)/(2)) and tan (( beta)/(2)) are the roots of the equatio...
04:38
|
"tan"^(6) (pi)/(9)-33 "tan"^(4)(pi)/(9) +27 "tan"^(2)(pi)/(9)=
03:28
|
(1- sec 8 theta )/( 1- sec 4 theta ) =
04:28
|
If tan ((theta)/(2))= sqrt((1-e)/(1+e)) tan(( alpha)/(2)) then cos alp...
02:58
|
tan alpha+ 2 tan 2 alpha+ 4 tan4 alpha+8 cot 8 alpha=
03:40
|
"cos" (2pi)/(7)+"cos" (4pi)/(7)+"cos"(6pi)/(7)=
02:41
|
(1+ sec 20^(0))(1+sec40^(0))(1+ sec80^(0))=
06:39
|
sin^(2)12^(0)+sin^(2)21^(0)+sin^(2)39^(0)+ sin^(2)48^(2)-sin^(2)9^(0)-...
05:48
|
If cos x= tan y, cos y= tan z' cos z= tan x then
09:47
|
tan20^(0)+4 sin20^(0)=
02:36
|
The value of 4 sin 27^(0)=
08:32
|
Statement-I : In DeltaABC, if sinA- cos B= cos C then B=(pi)/(2) Sta...
04:45
|
The value of 4 sin 27^(0)=
08:32
|
If A=580^(0) then -sqrt(1+sinA)-sqrt(1-sinA)=
05:30
|
If cos theta- sin theta=(1)/(5), theta lt theta lt (pi)/(2) then match...
06:54
|
3 sin x+ 4 cos x= 5implies 6 tan""(x)/(2)-9 tan^(2)""(x)/(2)=
03:22
|
Assertion (A) sum (r=1)^(n-1) cos^2((rpi)/(n))=(n)/(2)-1 Reasion (R)...
03:51
|
Let f(k)(x)=(1)/(k)(sin^(k)x+cos^(k)x) wherex in R and k ge1, then f(4...
03:09
|