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महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता १२ वी

Select the correct option from the given alternatives: In any ΔABC, if a cos B = b cos A, then the triangle is - Mathematics and Statistics

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प्रश्न

Select the correct option from the given alternatives:

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

पर्याय

  • equilateral triangle

  • isosceles triangle

  • scalene

  • right-angled

MCQ

उत्तर

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

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Trigonometric Equations and Their Solutions
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Trigonometric Functions - Miscellaneous exercise 3 [पृष्ठ १०८]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] 12 Standard HSC Maharashtra State Board
पाठ 3 Trigonometric Functions
Miscellaneous exercise 3 | Q 1.20 | पृष्ठ १०८

संबंधित प्रश्‍न

Find the general solution of the following equation:

sinθ = `1/2`.


Find the general solution of the following equation:

cot θ = 0.


Find the general solution of the following equation:

sin 2θ = `1/2`


Find the general solution of the following equation:

4sin2θ = 1.


Find the general solution of the following equation:

cos 4θ = cos 2θ


Find the general solution of the following equation:

sin θ = tan θ.


Find the general solution of the following equation:

cosθ + sinθ = 1.


State whether the following equation has a solution or not?

2sinθ = 3


In ΔABC, prove that `sin(("B" − "C")/2) = (("b" − "c")/"a")cos  "A"/(2)`.


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:

`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)` = ______


Select the correct option from the given alternatives:

The principal value branch of sec-1x is


Find the general solutions of the following equation:

`tan^2 theta = 3`


State whether the following equation has a solution or not?

3 sin θ = 5


If sin-1(1 - x) - 2 sin-1x =  `pi/2`, then find the value of x.


Prove the following:

`cos^-1 "x" = 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


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


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


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 ______.


The value of sin 18° is ______.


The general solution of the equation tan θ tan 2θ = 1 is given by ______ 


The general solution of cot θ + tan θ = 2 is ______.


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


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


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 ______.


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


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


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.


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