हिंदी

Find the Set of Values of `Cosec^-1(Sqrt3/2)` - Mathematics

Advertisements
Advertisements

प्रश्न

Find the set of values of `cosec^-1(sqrt3/2)`

उत्तर

The value of `cosec^-1(sqrt3/2)`  is undefined as it is outside the range i.e., R – (–1, 1) .

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 4: Inverse Trigonometric Functions - Exercise 4.05 [पृष्ठ २१]

APPEARS IN

आरडी शर्मा Mathematics [English] Class 12
अध्याय 4 Inverse Trigonometric Functions
Exercise 4.05 | Q 2 | पृष्ठ २१

वीडियो ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्न

Find the value of the following:

`tan^(-1) (tan  (7x)/6)`


Find the domain of the following function:

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

 


Find the domain of the following function:

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


If `sin^-1 x + sin^-1 y+sin^-1 z+sin^-1 t=2pi` , then find the value of x2 + y2 + z2 + t2 


Evaluate the following:

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


Evaluate the following:

`tan^-1(tan  (5pi)/6)+cos^-1{cos((13pi)/6)}`


Evaluate: tan `[ 2 tan^-1  (1)/(2) – cot^-1 3]`


In ΔABC, if a = 18, b = 24, c = 30 then find the values of A(ΔABC)


Find the principal value of the following: tan-1(– 1)


Evaluate the following:

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


Evaluate the following:

`tan^-1 sqrt(3) - sec^-1 (-2)`


Evaluate the following:

`"cosec"^-1(-sqrt(2)) + cot^-1(sqrt(3))`


Prove the following: 

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


Find the principal solutions of the following equation:
tan 5θ = -1


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


Prove that `2 tan^-1 (3/4) = tan^-1(24/7)`


Prove that sin `[tan^-1 ((1 - x^2)/(2x)) + cos^-1 ((1 - x^2)/(1 + x^2))]` = 1


Prove that cot−1(7) + 2 cot−1(3) = `pi/4`


Prove that:

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


Evaluate:

`cos[tan^-1 (3/4)]`


`sin^2(sin^-1  1/2) + tan^2 (sec^-1  2) + cot^2(cosec^-1  4)` = ______.


The value of cot (- 1110°) is equal to ______.


If 2sin2θ = 3cosθ, where 0 ≤ θ ≤ 2π, then θ = ______ 


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 ______ 


If `tan^-1x + tan^-1y = (4pi)/5`, then `cot^-1x + cot^-1y` equals ______.


The value of `sin^-1(cos  (53pi)/5)` is ______ 


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


Prove that `cot(pi/4 - 2cot^-1 3)` = 7


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


`"tan"^-1 (sqrt3)`


`"tan"(pi/4 + 1/2 "cos"^-1 "x") + "tan" (pi/4 - 1/2 "cos"^-1 "x") =` ____________.


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


sin 6θ + sin 4θ + sin 2θ = 0, then θ =


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


Consider f(x) = sin–1[2x] + cos–1([x] – 1) (where [.] denotes greatest integer function.) If domain of f(x) is [a, b) and the range of f(x) is {c, d} then `a + b + (2d)/c` is equal to ______. (where c < d) 


The value of cos (2cos–1 x + sin–1 x) at x = `1/5` is ______.


If cos–1 x > sin–1 x, then ______.


`sin[π/3 + sin^-1 (1/2)]` is equal to ______.


Solve for x:

5tan–1x + 3cot–1x = 2π


Find the value of `tan^-1(x/y) + tan^-1((y - x)/(y + x))`


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×