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

The principal solutions of 3 sec x − 2 = 0 are

Advertisements
Advertisements

प्रश्न

The principal solutions of `sqrt(3)` sec x − 2 = 0 are ______

पर्याय

  • `pi/3, (11pi)/6`

  • `pi/6, (11pi)/6`

  • `pi/4, (11pi)/4`

  • `pi/6, (11pi)/3`

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

`pi/6, (11pi)/6`

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

संबंधित प्रश्‍न

Find the principal solution of the following equation:

`sqrt(3)` cosecθ + 2 = 0 


Find the general solution of the following equation:

sinθ = `1/2`.


Find the general solution of the following equation:

cosec θ = - √2.


Find the general solution of the following equation:

tan `(2θ)/(3) = sqrt3`


Find the general solution of the following equation:

cot 4θ = – 1


Find the general solution of the following equation:

4 cos2 θ  = 3


Find the general solution of the following equation:

sin θ = tan θ


State whether the following equation has a solution or not?

cos2θ = – 1.


In Δ ABC, prove that a3 sin(B – C) + b3sin(C – A) + c3sin(A – B) = 0


In ΔABC, if a cos A = b cos B then prove that the triangle is either a right angled or an isosceles traingle.


With usual notations prove that 2(bc cosA + ac cosB + ab cosC) = a2 + b2 + c2 .


If `sqrt3 cos x − sin x = 1`, then general value of x is ______.


`"cos"^-1 ("cos" (7pi)/6)` = _________.


If `"sin"^-1 4/5 + "cos"^-1 12/13 = "sin"^-1 alpha`, then α = ______.


Select the correct option from the given alternatives:

`"tan"(2"tan"^-1 (1/5) - pi/4)` = ______


The principal value branch of sec-1x is ______.


`cos[tan^-1  1/3 + tan^-1  1/2]` = ______


Find the principal solutions of the following equation:

sin 2θ = `-1/2`


Find the principal solutions of the following equation:

cot θ = 0


With the usual notations, prove that `(sin("A" - "B"))/(sin ("A" + "B")) = ("a"^2 - "b"^2)/"c"^2`


In ΔABC, prove that `("a - b")^2 cos^2  "C"/2 + ("a + b")^2 sin^2  "C"/2 = "c"^2`


If 2 tan-1(cos x) = tan-1(2 cosec x), then find the value of x.


If tan-12x + tan-13x = `pi/4`, then find the value of x.


Show that `cot^-1  1/3 - tan^-1  1/3 = cot^-1  3/4`.


Show that `2 cot^(-1)  3/2 +  sec^(-1)  13/12 = π/2`


Find the principal solutions of tan x = `-sqrt(3)`


`int 1/(sin x * cos x)` dx = ?


If tan-1 x + 2cot-1 x = `(5pi)/6`, then x is


If y = sin-1 `[(sqrt(1 + x) + sqrt(1 - x))/2]`, then `"dy"/"dx"` = ?


The values of x in `(0, pi/2)` satisfying the equation sin x cos x = `1/4` are ______.


The number of solutions of `sin^2 theta = 1/2` in [0, π] is ______.


If function

f(x) = `x - |x|/x, x < 0`
      = `x + |x|/x, x > 0`
      = 1, x = 0, then


The value of sin 18° is ______.


The value of θ in (π, 2π) satisfying the equation sin2θ - cos2θ = 1 is ______ 


The general solution of the equation tan θ tan 2θ = 1 is given by ______ 


The general solution of 4sin2 x = 1 is ______.


If 2 tan–1(cos x) = tan–1(2 cosec x). then find the value of x.


If y = `(2sinα)/(1 + cosα + sinα)`, then value of `(1 - cos α + sin α)/(1 + sin α)` is ______.


The general solution of x(1 + y2)1/2 dx + y(1 + x2)1/2 dy = 0 is ______.


General solution of the equation sin 2x – sin 4x + sin 6x = 0 is ______.


Prove that the general solution of cos θ = cos α is θ = 2nπ ± α, n ∈ Z.


If `tanx/(tan 2x) + (tan 2x)/tanx + 2` = 0, then the general value of x is ______.


If tan θ + sec θ = `sqrt(3)`, find the general value of θ.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×