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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Select the correct option from the given alternatives: The value of cot (tan-12x + cot-12x) is

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प्रश्न

Select the correct option from the given alternatives:

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

पर्याय

  • 0

  • 2x

  • π + 2x

  • π - 2x

MCQ
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उत्तर

The value of cot (tan-12x + cot-12x) is 0.

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

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बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
पाठ 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.21 | पृष्ठ १०७

संबंधित प्रश्‍न

Find the principal solution of the following equation: 

cosθ = `(1)/(2)`


Find the principal solution of the following equation :

cot θ = `sqrt(3)`


Find the principal solution of the following equation:

sin θ = `-1/2`


Find the principal solution of the following equation:

`sqrt(3)` cosecθ + 2 = 0 


Find the general solution of the following equation :

cosθ = `sqrt(3)/(2)`


Find the general solution of the following equation:

sin 2θ = `1/2`


Find the general solution of the following equation:

cosθ + sinθ = 1.


State whether the following equation has a solution or not?

2sinθ = 3


State whether the following equation have solution or not?

3 tanθ = 5


With the usual notations prove that `2{asin^2  "C"/(2) + "c"sin^2  "A"/(2)}` = a – b + c.


Select the correct option from the given alternatives:

If polar coordinates of a point are `(2, pi/4)`, then its cartesian coordinates are


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


Select the correct option from the given alternatives:

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


Find the principal solutions of the following equation:

tan 3θ = - 1


In Δ ABC, if cos A = sin B - cos C then show that it is a right-angled triangle.


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


Find the principal solutions of cos 2𝑥 = 1


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


`cos^-1 (cos  (4pi)/3)` = ______.


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


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


The general solution of sec θ = `sqrt2` is


`[sin (tan^-1  3/4)]^2 + [sin(tan^-1  4/3)]^2 = ?`


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


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


The value of `tan^-1  1/3 + tan^-1  1/5 + tan^-1  1/7 + tan^-1  1/8` is ______.


If function

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


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


Which of the following is true in a triangle ABC?


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


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


The general solution of the equation tan θ + tan 4θ + tan 7θ = tan θ tan 4θ tan 7θ is ______.


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


The number of principal solutions of tan 2θ = 1 is ______.


Principal solutions at the equation sin 2x + cos 2x = 0, where π < x < 2 π are ______.


The general solution of sin x – 3 sin 2x + sin 3x = cos x – 3 cos 2x + cos 3x is ______.


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


If `2sin^-1  3/7` = cos–1β, then find the value of β.


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


If `sin^-1  4/5 + cos^-1  12/13` = sin–1α, then find the value of α.


If tan3θ = cotθ, then θ =


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