हिंदी

Select the correct option from the given alternatives: If tan-1(2x) + tan-1(3x) = π4, then x = _____

Advertisements
Advertisements

प्रश्न

Select the correct option from the given alternatives:

If tan-1(2x) + tan-1(3x) = `pi/4`, then x = _____

विकल्प

  • - 1

  • `1/6`

  • `2/6`

  • `3/2`

MCQ
Advertisements

उत्तर

If tan-1(2x) + tan-1(3x) = `pi/4, "then x" = 1/6`

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०७]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
अध्याय 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.14 | पृष्ठ १०७

संबंधित प्रश्न

Find the principal solution of the following equation :

cot θ = `sqrt(3)`


Find the principal solution of the following equation:

cot θ = 0


Find the general solution of the following equation:

sinθ = `1/2`.


Find the general solution of the following equation:

tan θ = - 1


Find the general solution of the following equation:

sin 2θ = `1/2`


Find the general solution of the following equation:

tan `(2θ)/(3) = sqrt3`


Find the general solution of the following equation:

cos 4θ = cos 2θ


State whether the following equation has a solution or not?

cos2θ = – 1.


State whether the following equation has a solution or not?

2sinθ = 3


Select the correct option from the given alternatives:

The principal solutions of equation cot θ = `sqrt3` are ______.


Select the correct option from the given alternatives:

The general solution of sec x = `sqrt(2)` is ______.


Select the correct option from the given alternatives:

In Δ ABC if ∠A = 45°, ∠B = 30°, then the ratio of its sides are


Select the correct option from the given alternatives:

The value of cot (tan-12x + cot-12x) is


Select the correct option from the given alternatives:

`2 "tan"^-1 (1/3) + "tan"^-1 (1/7) =` _____


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`


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


If `(sin "A")/(sin "C") = (sin ("A - B"))/(sin ("B - C"))`, then show that a2, b2, c2 are in A.P.


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 `tan^-1  1/2 = 1/3  tan^-1  11/2`


If `tan^-1 "x" + tan^-1 "y" + tan^-1 "z" = pi/2,` then show that xy + yz + zx = 1


If cos-1 x + cos-1y + cos-1z = 3π, then show that x2 + y2 + z2 + 2xyz = 1.


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


Find the principal solutions of sin x − 1 = 0


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


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


If 2 cos2 θ + 3 cos θ = 2, then permissible value of cos θ is ________.


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 ______.


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


The measure of the angle between lines (sin2θ - 1)x2 - 2xy cos2θ + cos2θy2 = 0 is ______ 


If sin θ + cos θ = 1, then the general value of θ is ______.


If `(tan 3 theta - 1)/(tan 3 theta + 1) = sqrt3`, then the general value of θ is ______.


The general value of θ in the equation `2sqrt(3) cos theta = tan theta` is ______.


The equation 3sin2x + 10 cos x – 6 = 0 is satisfied, if ______.


The number of solutions of sin x + sin 3x + sin 5x = 0 in the interval `[pi/2, (3pi)/2]` is ______.


Which of the following equation has no solution?


If a = sin θ + cos θ, b = sin3 θ + cos3 θ, then ______.


With usual notations, in any ΔABC, if a cos B = b cos A, then the triangle is ______.


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


The general solution to cos100x – sin100x = 1 is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×