हिंदी

Evaluate cot(tan−1(2x) + cot−1(2x)) - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

Evaluate cot(tan−1(2x) + cot−1(2x))

योग
Advertisements

उत्तर

cot(tan−1(2x) + cot−1(2x)) = `cot (pi/2)`

= 0      .......`[∵ tan^-1x + cot^-1 x = pi/2]`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1.3: Trigonometric Functions - Very Short Answers

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

If `sin^-1(1-x) -2sin^-1x = pi/2` then x is

  1. -1/2
  2. 1
  3. 0
  4. 1/2
 

If `tan^-1((x-1)/(x-2))+cot^-1((x+2)/(x+1))=pi/4; `


Find the principal value of the following:

cosec−1 (2)


Find the principal value of the following:

`cot^(-1) (sqrt3)`


Find the principal value of the following:

`"cosec"^(-1)(-sqrt2)`


Find the value of the following:

`cos^(-1) (cos  (13pi)/6)`


Find the principal value of `sin^-1(1/sqrt2)`


`sin^-1{cos(sin^-1  sqrt3/2)}`


Find the domain of the following function:

`f(x)=sin^-1x^2`

 


Evaluate the following:

`tan^-1(-1/sqrt3)+tan^-1(-sqrt3)+tan^-1(sin(-pi/2))`


Evaluate the following:

`cot^-1{2cos(sin^-1  sqrt3/2)}`


Prove that:
cot−1 7 + cot​−1 8 + cot​−1 18 = cot​−1 3 .


In ΔABC, if a = 18, b = 24, c = 30 then find the values of sin `(A/2)`.


Evaluate the following:

`tan^-1(1) + cos^-1(1/2) + sin^-1(1/2)`


Prove the following:

`tan^-1(1/2) + tan^-1(1/3) = pi/(4)`


The principal value of cos−1`(-1/2)` is ______


Prove that `2 tan^-1 (1/8) + tan^-1 (1/7) + 2tan^-1 (1/5) = pi/4`


Prove that:

2 tan-1 (x) = `sin^-1 ((2x)/(1 + x^2))`


Evaluate: `cos (sin^-1 (4/5) + sin^-1 (12/13))`


Find the principal value of `tan^-1 (sqrt(3))`


If `sin^-1  3/5 + cos^-1  12/13 = sin^-1 P`, then P is equal to ______ 


If 2tan-1 (cos x) = tan-1 (cosec2 x), then x = ______.


The principal value of `sin^-1 (sin  (3pi)/4)` is ______.


If `3sin^-1((2x)/(1 + x^2)) - 4cos^-1((1 - x^2)/(1 + x^2)) + 2tan^-1((2x)/(1 - x^2)) = pi/3`, then x is equal to ______ 


`sin{tan^-1((1 - x^2)/(2x)) + cos^-1((1 - x^2)/(1 + x^2))}` is equal to ______ 


The value of `sin^-1[cos(pi/3)] + sin^-1[tan((5pi)/4)]` is ______.


Show that `sin^-1  5/13 + cos^-1  3/5 = tan^-1  63/16`


If `"x + y" = "x"/4` then (1+ tanx)(1 + tany) is equal to ____________.


If `"sin"^-1("x"^2 - 7"x" + 12) = "n"pi, AA "n" in "I"`, then x = ____________.


If `"cos"^-1  "x + sin"^-1  "x" = pi`, then the value of x is ____________.


If sin-1 x – cos-1 x `= pi/6,` then x = ____________.


If 6sin-1 (x2 – 6x + 8.5) = `pi`, then x is equal to ____________.


If `"x" in (- pi/2, pi/2), "then the value of tan"^-1 ("tan x"/4) + "tan"^-1 ((3 "sin" 2 "x")/(5 + 3 "cos" 2 "x"))` is ____________.


`2"tan"^-1 ("cos x") = "tan"^-1 (2 "cosec x")`


`"tan"^-1 sqrt3 - "sec"^-1 (-2)` is equal to ____________.


The equation of the tangent to the curve given by x = a sin3t, y = bcos3t at a point where t = `pi/2` is


If `sqrt(2)` sec θ + tan θ = 1, then the general value of θ is


What is the principal value of cosec–1(2).


`sin(tan^-1x), |x| < 1` is equal to


`tan^-1  (1 - x)/(1 + x) = 1/2tan^-1x, (x > 0)`, x then will be equal to.


Value of `sin(pi/3 - sin^1 (- 1/2))` is equal to


What is the values of `cos^-1 (cos  (7pi)/6)`


Find the principal value of `cot^-1 ((-1)/sqrt(3))`


`cot^-1(sqrt(cos α)) - tan^-1 (sqrt(cos α))` = x, then sin x = ______.


Find the value of `cos(x/2)`, if tan x = `5/12` and x lies in third quadrant.


If –1 ≤ x ≤ 1, the prove that sin–1 x + cos–1 x = `π/2`


If sin–1x – cos–1x = `π/6`, then x = ______.


Prove that:

tan–1x + tan–1y = `π + tan^-1((x + y)/(1 - xy))`, provided x > 0, y > 0, xy > 1


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×