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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:

cot θ = 0


Find the principal solution of the following equation:

sin θ = `-1/2`


Find the general solution of the following equation:

sec θ = `sqrt(2)`.


Find the general solution of the following equation:

sin 2θ = `1/2`


Find the general solution of the following equation:

cos 4θ = cos 2θ


Find the general solution of the following equation: 

tan3θ = 3 tanθ.


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:

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


Select the correct option from the given alternatives:

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


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


Select the correct option from the given alternatives:

In ΔABC if c2 + a2 – b2 = ac, then ∠B = ____.


If in a triangle, the angles are in A.P. and b: c = `sqrt3: sqrt2`, then A is equal to


The principal value of sin–1 `(- sqrt3/2)` is ______.


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


Select the correct option from the given alternatives:

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


Find the principal solutions of the following equation:

tan 3θ = - 1


Find the general solutions of the following equation:

sin2 θ - cos2 θ = 1


In Δ ABC, prove that `cos(("A" - "B")/2) = (("a" + "b")/"c")sin  "C"/2` .


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


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


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


Find the principal solutions of sin x − 1 = 0


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


`cos^-1 (cos  (4pi)/3)` = ______.


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


If `|bar"a"|` = 10, `|bar"b"| = 2`, then `sqrt(|bar"a" xx bar"b"|^2 + |bar"a"*bar"b"|^2)` = ?


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


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


The general solution of sin 2x = cos 2x is ______ 


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


The general solution of cosec x = `-sqrt2` is ______ 


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


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


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


The general solution of the equation tan2 x = 1 is ______.


Find the general solution of sin θ + sin 3θ + sin 5θ = 0


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


If tan3θ = cotθ, then θ =


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