मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

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 = ______

पर्याय

  • `1/5`

  • `-1/5`

  • 5

  • −5

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

`1/5`

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1.3: Trigonometric Functions - MCQ

व्हिडिओ ट्यूटोरियलVIEW ALL [3]

संबंधित प्रश्‍न

Find the principal value of the following:

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


Find the principal value of the following:

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


Evaluate the following:

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


Evaluate the following:

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


Evaluate the following:

`\text(cosec)^-1(-2/sqrt3)+2cot^-1(-1)`


Evaluate the following:

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


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


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


In ΔABC prove that `(b + c - a) tan  "A"/(2) = (c + a - b)tan  "B"/(2) = (a + b - c)tan  "C"/(2)`.


In ΔABC prove that `sin  "A"/(2). sin  "B"/(2). sin  "C"/(2) = ["A(ΔABC)"]^2/"abcs"`


Evaluate the following:

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


Evaluate cot(tan−1(2x) + cot−1(2x))


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


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


Solve `tan^-1 2x + tan^-1 3x = pi/4`


Evaluate:

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


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


Express `tan^-1 [(cos x)/(1 - sin x)], - pi/2 < x < (3pi)/2` in the simplest form.


Express `tan^-1 ((cos x - sin x)/(cos x + sin x))`, 0 < x < π in the simplest form.


Find the principal value of `sec^-1 (- sqrt(2))`


lf `sqrt3costheta + sintheta = sqrt2`, then the general value of θ is ______ 


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


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


`(sin^-1(-1/2) + tan^-1(-1/sqrt(3)))/(sec^-1 (-2/sqrt(3)) + cos^-1(1/sqrt(2))` = ______.


`cos^-1  4/5 + tan^-1  3/5` = ______.


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


The domain of y = cos–1(x2 – 4) is ______.


`"sin"  265° -  "cos"  265°` is ____________.


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


`"sin"^-1 (1/sqrt2)`


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


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


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


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


Which of the following functions is inverse of itself?


The inverse of `f(x) = sqrt(3x^2 - 4x + 5)` is


What will be the principal value of `sin^-1(-1/2)`?


Find the value, if sin–1x = y, then `->`:-


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


If f(x) = x5 + 2x – 3, then (f–1)1 (–3) = ______.


If x ∈ R – {0}, then `tan^-1 ((sqrt(1 + x^2) + sqrt(1 - x^2))/(sqrt(1 + x^2) - sqrt(1 - x^2)))`


Derivative of `tan^-1(x/sqrt(1 - x^2))` with respect sin–1(3x – 4x3) is ______.


If 2 tan–1 (cosx) = tan–1 (2 cosec x), then sin x + cos x is equal to ______.


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×