Home
Class 11
MATHS
The value of (cot (x/2)-t a n x/2)^2(1-2...

The value of `(cot (x/2)-t a n x/2)^2(1-2tanxcot2x)` is 1 (b) 2 (c) 3 (d) 4

Text Solution

Verified by Experts

Given,
`(cot (x/2)-tan(x/2))^2(1-2tanxcot2x)`
firstly,
`=>(cot (x/2)-tan(x/2))^2`
`=>(1/(tan(x/2))-tan(x/2))^2`
`=>((1-tan^2(x/2))^2/(tan(x/2)))^2`
`=>(2(1-tan^2(x/2)))^2/(2(tan(x/2))^2`
`=>2^2((1-tan^2(x/2))/(2tan(x/2)))^2`
...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS OF COMPOUND ANGLES

    RD SHARMA|Exercise Solved Examples And Exercises|149 Videos

Similar Questions

Explore conceptually related problems

The value of cot(tan^(-1)2x+cot^(-1)2x) is ... (A) 0 (B) 2x (C) 4x (D) pi+2x A B C D

Find the value of x if 2^(x-3)=1 (a) 1 (b) 2 (c) 3 (d) 4

Knowledge Check

  • The value of lim_(x rarr pi//4) (2-cot x - cot^(3) x)/(1 - cot^(3)x )

    A
    `(4)/(3)`
    B
    1
    C
    0
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    If sec x+sec^(2)x=1 then the value of tan^(8)x-tan^(4)x-2tan^(2)x+1 will be equal to 0(b)1(c)2(d)3

    (x)/(x-1)+(1)/(x+1)+(2x)/(1-x^(2))=?( a) 1 (b) 2 (c) 3(d)4

    The value of sin(cot^-1x)= (A) sqrt(1+x^2) (B) x (C) (1+x^2)^(-3/2) (D) (1+x^2)^(-1/2)

    The differentiation of sin^(2)(x^(2)) with respect to cos^(2)(x^(2)) is (a) tan^2(x^2) (b) cot^2(x^2) (c) -1 (d) cosec(x^2)

    If tan^(-1)(x^(2)+3|x|-4)+cot^(-1)(4 pi+sin^(-1)sin14)=(pi)/(2), then the value of sin^(-1)sin2x is (a)6-2 pi( b) 2 pi-6( c) pi-3 (d) 3-pi

    The value of int_-1^3 [tan^-1(x/(x^2+1))+tan^-1((x^2+1)/x)]dx= (A) pi/2 (B) 2pi (C) pi (D) pi/4

    Total number of values of x' satisfying the equation,2^(cos2x)=3.2^(cos^(2)x)-4 and the inequality x^(2)<=30 is: 1 (b) 2 (c) 3 (d) 4

    Home
    Profile