हिंदी

Select the correct option from the given alternatives: In Δ ABC if ∠A = 45°, ∠B = 30°, then the ratio of its sides are

Advertisements
Advertisements

प्रश्न

Select the correct option from the given alternatives:

In Δ ABC if ∠A = 45°, ∠B = 30°, then the ratio of its sides are

विकल्प

  • `2 : sqrt2 : sqrt3 + 1`

  • `sqrt2 : 2 : sqrt3 + 1`

  • `2sqrt2 : sqrt2 : sqrt3`

  • `2 : 2sqrt2 : sqrt3 + 1`

MCQ
रिक्त स्थान भरें
Advertisements

उत्तर

In Δ ABC if ∠A = 45°, ∠B = 30°, then the ratio of its sides are `bbunderline(2 : sqrt2 : sqrt3 + 1)`

shaalaa.com
  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 1.07 | पृष्ठ १०७

संबंधित प्रश्न

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:

sec θ = `sqrt(2)`.


Find the general solution of the following equation:

cosec θ = - √2.


Find the general solution of the following equation:

tan `(2θ)/(3) = sqrt3`


Find the general solution of the following equation:

cot 4θ = – 1


Find the general solution of the following equation:

4 cos2 θ  = 3


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 has a solution or not?

cos2θ = – 1.


In Δ ABC, prove that a3 sin(B – C) + b3sin(C – A) + c3sin(A – B) = 0


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


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) =` _____


Select the correct option from the given alternatives:

`"tan"(2"tan"^-1 (1/5) - pi/4)` = ______


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:

cot θ = 0


Find the general solutions of the following equation:

`tan^2 theta = 3`


Find the general solutions of the following equation:

sin θ - cos θ = 1


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


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


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


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))`


Find the principal solutions of sin x − 1 = 0


Find the principal solutions of cos 2𝑥 = 1


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


`cos^-1 (cos  (4pi)/3)` = ______.


If x + y = `pi/2`, then the maximum value of sin x. sin y is.


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


Which of the following equations has no solution?


If function

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


The general value of θ in the equation `2sqrt(3) cos theta = tan theta` is ______.


Find the principal solutions of cot θ = 0


The general solution of x(1 + y2)1/2 dx + y(1 + x2)1/2 dy = 0 is ______.


Which of the following equation has no solution?


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


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


With usual notations, in any ΔABC, if a cos B = b cos A, then the triangle is ______.


If tan3θ = cotθ, then θ =


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×