हिंदी

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

विकल्प

  • 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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  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 1.21 | 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)`


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cot θ = 0


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cot θ = 0.


Find the general solution of the following equation:

cot 4θ = – 1


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sin θ = tan θ


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tan3θ = 3 tanθ.


State whether the following equation has a solution or not?

2sinθ = 3


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


Select the correct option from the given alternatives:

The principal solutions of equation sin θ = `- 1/2` are ______.


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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 ΔABC, ac cos B - bc cos A = _______


The principal value of sin1 `(- sqrt3/2)` 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:

In any ΔABC, if acos B = bcos A, then the triangle is


Find the principal solutions of the following equation:

sin 2θ = `-1/2`


Find the principal solutions of the following equation:

cot θ = 0


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


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))`


Find the principal solutions of cosec x = 2


Find the principal solutions of sin x − 1 = 0


Find the principal solutions of sin x = `-1/2`


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


`int (sin (log x))^2/x` log x dx = ?


If f(x) = sin-1`(sqrt((1 - x)/2))`, then f'(x) = ?


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Which of the following equations has no solution?


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


If 4 sin-1x + 6 cos-1 x = 3π then x = ______.


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 ______.


Find the principal solutions of cot θ = 0


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


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


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


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


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