Home
Class 12
MATHS
If y = tan x tan 2x tan 3x, (sin 12x != ...

If `y = tan x tan 2x tan 3x, (sin 12x != 0)` then `dy / dx` has the value equal to

A

`3sec^(2)3xtanx tan2x+sec^(2)x tan2xtan3x+2sec^(2)2xtan3xtanx`

B

`2y(cosec 2x+2 cosec 4x+3cosec6x)`

C

`3sec^(2)3x-2sec^(2)2x-sec^(2)x`

D

`sec^(2)x+2sec^(2)2x+3sec^(2)3x`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that tan 3x tan 2x tan x = tan 3x - tan 2x - tan x

If sqrt(y+x)+sqrt(y-x)=c, where cne0 , then (dy)/(dx) has the value equal to

If tan x = ( 5)/( 12), then find sec x.

If y= x^(tan x) + sqrt((x^(2) + 1)/(x)) then find (dy)/(dx)

(dy)/(dx) + 2 y tan x = sin x, y = 0 when x = (pi)/(3) .

(dy)/(dx) = y tan x, y = 1 when x = 0

Consider the equation 5 sin^2 x + 3 sin x cos x - 3 cos^2 x =2 .......... (i) sin^2 x - cos 2 x =2-sin 2 x ........... (ii) If alpha is a root of (i) and beta is a root of (ii), then tan alpha + tan beta can be equal to

sec^(2)x tan y dx + sec^(2) y tan x dy = 0

If the sum of all value of x satisfying the system of equations tan x + tan y+ tan x* tan y=5 sin (x +y)=4 cos x * cos y is (k pi )/2 , where x in (0, (pi)/(2)) then find the values of k .

The value of int (tan x )/(tan ^(2) x + tan x+1)dx =x -(2)/(sqrtA) tan ^(-1) ((2 tan x+1)/(sqrtA))+C Then the value of A is: