If cot^(3)alpha+cot^(2)alpha+cot alpha=...

If `cot^(3)alpha+cot^(2)alpha+cot alpha=1` then which of the following is/are correct

`cos2alpha tan alpha=1`

`cos2alpha*tan alpha= -1`

`cos2alpha-tan2alpha=-1`

`cos2alpha-tan2alpha=1`

Text Solution

Verified by Experts

The correct Answer is:

B, D

Topper's Solved these Questions

COMPOUND ANGLES
VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|12 Videos
COMPOUND ANGLES
VK JAISWAL ENGLISH|Exercise Exercise-4 : Matching Type Problems|1 Videos
COMPOUND ANGLES
VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|31 Videos
COMPLEX NUMBERS
VK JAISWAL ENGLISH|Exercise EXERCISE-5 : SUBJECTIVE TYPE PROBLEMS|8 Videos
CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION
VK JAISWAL ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos

Similar Questions

Explore conceptually related problems

If 4nalpha =pi then cot alpha cot 2 alpha cot 3alpha ...cot (2n-1)alpha n in Z is equal to

Prove that cot alpha - tan alpha =2 cot 2 alpha.

Verify : "cosec "alpha=1+cot^(2)alpha" if "alpha=(pi)/(3) .

If cot^3alpha+cot^2alpha+cotalpha=1 then (a) cos2alpha.tanalpha=-1 (b) cos2alpha.tanalpha=1 (c) cos2alpha-tan2alpha=1 (d) cos2alpha-tan2alpha=-1

If cos 5 alpha=cos^5 alpha, where alpha in (0,pi/2) then find the possible values of (sec^2 alpha+cosec^2 alpha+cot^2 alpha).

If Delta_(1) is the area of the triangle with vertices (0, 0), (a tan alpha, b cot alpha), (a sin alpha, b cos alpha), Delta_(2) is the area of the triangle with vertices (a sec^(2) alpha, b cos ec^(2) alpha), (a + a sin^(2)alpha, b + b cos^(2)alpha) and Delta_(3) is the area of the triangle with vertices (0,0), (a tan alpha, -b cot alpha), (a sin alpha, b cos alpha) . Show that there is no value of alpha for which Delta_(1), Delta_(2) and Delta_(3) are in GP.

Show that 1 + cot^2 alpha / (1+ cosec alpha) = cosec alpha

If tan alpha + cot alpha=a , then the value of tan^(4)alpha + cot^(4)alpha is equal to

tan alpha + 2 tan 2alpha + 4 tan 4 alpha + 8 cot 8 alpha =

1/(tan3alpha-tanalpha)-1/(cot3alpha-cotalpha)=cot2alpha

VK JAISWAL ENGLISH-COMPOUND ANGLES-Exercise-2 : One or More than One Answer is/are Correct

If sin(x+20^0)=2sinxcos40^0,w h r ex in (0,pi/2), then which of the fo...
Text Solution
|
If cosx + cosy + cosz = 0 and sinx + siny + sinz =0, then show that ...
Text Solution
|
If 0 lt x lt pi/2 and sin^(n) x + cos^(n) x ge 1, then
Text Solution
|
If x=sin(alpha-beta)*sin(gamma-delta), y=sin(beta-gamma)*sin(alpha-de...
Text Solution
|
If X=x cos theta-y sin theta, Y=x sin theta+y cos theta and X^(2)+4XY...
Text Solution
|
If 2a=2tan10^(@)+tan50^(@), 2b=tan20^(@)+tan50^(@) 2c=2tan10^(@)+tan...
Text Solution
|
Which of the following real numbers when simplified are neither termi...
Text Solution
|
If alpha=sin x cos^(3) x and beta=cos x sin^(3) x, then :
Text Solution
|
If (pi)/(2) lt theta lt pi, then possible answers of sqrt(2+sqrt(2+2c...
Text Solution
|
If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following...
Text Solution
|
The value of x in (0,pi/2) satisfying (sqrt(3)-1)/(sinx)+(sqrt(3)+1)/(...
Text Solution
|
If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be
Text Solution
|
If x in (0, (pi)/(2)) and sinx=(3)/(sqrt(10)), Let k=log(10)sinx+log...
Text Solution
|
If A, B, C are angles of a triangle ABC and tanAtanC=3, tan B tanC=6 t...
Text Solution
|
The value of (sin x-cos x)/(sin^(3)x) is equal to :
Text Solution
|
If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3)) then :
Text Solution
|
The range of y=(sin4x-sin2x)/(sin4x+sin2x) satisfies
Text Solution
|
If sqrt(2)cos A=cos B+cos^3B ,a n dsqrt(2)sinA=sinB-sin^3Bt h e nsin(A...
Text Solution
|
If alpha gt (1)/(sin^(6)x+cos^(6)x) AA x in R, then alpha can be
Text Solution
|
If cot^(3)alpha+cot^(2)alpha+cot alpha=1 then which of the following...
Text Solution
|