Home
Class 12
MATHS
In an acute triangle A B C if sides a , ...

In an acute triangle `A B C` if sides `a , b` are constants and the base angles `Aa n dB` vary, then show that `(d A)/(sqrt(a^2-b^2sin^2A))=(d B)/(sqrt(b^2-a^2sin^2B))`

Answer

Step by step text solution for In an acute triangle A B C if sides a , b are constants and the base angles Aa n dB vary, then show that (d A)/(sqrt(a^2-b^2sin^2A))=(d B)/(sqrt(b^2-a^2sin^2B)) by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

In a triangle, if the angles A , B ,a n dC are in A.P. show that 2cos1/2(A-C)=(a+c)/(sqrt(a^2-a c+c^2))

In A B C ,s i d e sb , c and angle B are given such that a has two valus a_1a n da_2dot Then prove that |a_1-a_2|=2sqrt(b^2-c^2sin^2B)

Knowledge Check

  • In any triangle ABC ,c^2 sin 2 B + b^2 sin 2 C is equal to

    A
    `(Delta )/(2)`
    B
    `Delta `
    C
    `2 Delta `
    D
    `4 Delta `

  • In a triangle ABC sin^(2)A+sin^(2)B+sin^(2)B+sin^(2)C=2 , then the triangle is

    A
    equilateral triangle
    B
    isosceles triangle
    C
    right triangle
    D
    scalene triangle.

    • Similar Questions

    Explore conceptually related problems

    If A , B and C are interior angles of triangle ABC ,then show that sin ((B+C)/( 2) )=cos (A) /(2)

    In a triangle ABC," if "a =2sqrt2, b=2sqrt3 and C=75^(@) , find the other side and the angles.

    Prove that (sin (A-B))/(sin (A+B))=(a^(2)-b^(2))/(c^(2))

    Show that cos[(B-C)/2]=(b+c)/a sin(A/2)

    In triangle ABC if 2sin^(2)C=2+cos2A+cos2B , then prove that triangle is right angled.

    If a cos theta - b sin theta = c, show that a sin theta + b cos theta = pm sqrt(a^(2) + b^(2) - c^(2))

    Home
    Profile