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

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प्रश्न

Select the correct option from the given alternatives:

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

पर्याय

  • - 1

  • `1/6`

  • `2/6`

  • `3/2`

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उत्तर

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

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०७]

APPEARS IN

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

संबंधित प्रश्‍न

Find the principal solution of the following equation: 

cosθ = `(1)/(2)`


Find the principal solution of the following equation: 

Sec θ = `(2)/sqrt(3)`


Find the principal solution of the following equation:

sin θ = `-1/2`


Find the principal solution of the following equation: 

tan θ = – 1


Find the general solution of the following equation:

sinθ = `1/2`.


Find the general solution of the following equation:

tan θ = `(1)/(sqrt(3))`


Find the general solution of the following equation:

4 cos2 θ  = 3


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sin θ = tan θ


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tan3θ = 3 tanθ.


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tan 3θ = - 1


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`tan^2 theta = 3`


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Show that `tan^-1  1/2 - tan^-1  1/4 = tan^-1  2/9`.


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


Show that `cos^-1  sqrt3/2 + 2 sin^-1  sqrt3/2 = (5pi)/6`.


Prove the following:

`cos^-1 "x" = tan^-1 (sqrt(1 - "x"^2)/"x")`, if x > 0


Prove the following:

`cos^-1 "x" = pi + tan^-1 (sqrt(1 - "x"^2)/"x")`, if x < 0


If | x | < 1, then prove that

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


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


If cos–1x + cos–1y – cos–1z = 0, then show that x2 + y2 + z2 – 2xyz = 1


If sin-1 x = `pi/10`, for some x ∈ [-1, 1], then the value of cos-1 x is _______.


The value of tan 57°- tan 12°- tan 57° tan 12° is ______.


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


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The principal solutions of cot x = `sqrt3` are ______.


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


Which of the following equations has no solution?


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      = `x + |x|/x, x > 0`
      = 1, x = 0, then


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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.


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