हिंदी

If sin(sin-1(15)+cos-1(x)) = 1, then x = ______ - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

If `sin(sin^-1(1/5) + cos^-1(x))` = 1, then x = ______

विकल्प

  • `1/5`

  • `-1/5`

  • 5

  • −5

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

`1/5`

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

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
 

Find the principal value of the following:

`tan^(-1) (-sqrt3)`


Find the principal value of the following:

tan−1 (−1)


Find the principal value of the following:

`cot^(-1) (sqrt3)`


Find the principal value of the following:

`cos^(-1) (-1/sqrt2)`


Find the domain of the following function:

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


Evaluate the following:

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


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


Evaluate the following:

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


Solve for x:
`tan^-1 [(x-1),(x-2)] + tan^-1 [(x+1),(x+2)] = x/4`


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


Prove the following: 

`sin^-1(1/sqrt(2)) -3sin^-1(sqrt(3)/2) = -(3π)/(4)`


Prove the following:

`tan^-1["cosθ + sinθ"/"cosθ - sinθ"] = pi/(4) + θ, if θ ∈ (- pi/4, pi/4)`


Prove the following:

`tan^-1[sqrt((1 - cosθ)/(1 + cosθ))] = θ/(2)`, if θ ∈ (– π, π).


Evaluate `cos[pi/6 + cos^-1 (- sqrt(3)/2)]`


Find the principal value of the following:

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


Evaluate:

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


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


Find the principal value of `cos^-1  sqrt(3)/2`


Find the principal value of cosec–1(– 1)


sin[3 sin-1 (0.4)] = ______.


If `sin^-1x + cos^-1y = (3pi)/10,` then `cos^-1x + sin^-1y =` ______ 


The principal value of `tan^{-1(sqrt3)}` is ______  


`tan[2tan^-1 (1/3) - pi/4]` = ______.


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 ______ 


`cos^-1  4/5 + tan^-1  3/5` = ______.


Solve the following equation `cos(tan^-1x) = sin(cot^-1  3/4)`


All trigonometric functions have inverse over their respective domains.


When `"x" = "x"/2`, then tan x is ____________.


`("cos" 8° -  "sin" 8°)/("cos" 8° +  "sin" 8°)`  is equal to ____________.


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


`"tan"^-1 (sqrt3)`


`"cos"^-1 ["cos" (2  "cot"^-1 (sqrt2 - 1))] =` ____________.


The range of sin-1 x + cos-1 x + tan-1 x is ____________.


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 ____________.


If tan-1 x – tan-1 y = tan-1 A, then A is equal to ____________.


`"cos" ["tan"^-1 {"sin" ("cot"^-1 "x")}]` is equal to ____________.


If `"cot"^-1 (sqrt"cos" alpha) - "tan"^-1 (sqrt "cos" alpha) = "x",` then sinx is equal to ____________.


What is the value of `sin^-1(sin  (3pi)/4)`?


what is the value of `cos^-1 (cos  (13pi)/6)`


Number of values of x which lie in [0, 2π] and satisfy the equation

`(cos  x/4 - 2sinx) sinx + (1 + sin  x/4 - 2cosx)cosx` = 0


If ax + b (sec (tan–1 x)) = c and ay + b (sec.(tan–1 y)) = c, then `(x + y)/(1 - xy)` = ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×