I need help to a Maths question

Given: sin^(-1)(y)=2cos^(-1)(x)
Prove that😔 y)^2= 4(x)^2 [(1-(x)^2 )]

Replies

  • yadavundertaker mohit
    yadavundertaker mohit
    sin(-1)^(y)=2cos^(-1)(x)

    y=sin(2cos^(-1)(x))

    using sin2x= 2sinx*cosx

    y=2sin(cos^(-1)(x)).cos(cos^(-1)(x))

    y=2sin(cos^(-1)(x))

    using sin(x)=(1-cos^2(x))^(1/2)

    y=2(1-cos^2(cos^(-1)(x)))(1/2)

    y=2x(1-x*x)^(1/2)

    squaring both sides we get


    y^2= 4(x)^2 [(1-(x)^2 )]



    hence proved.....
  • gdotnet
    gdotnet
    I cant say how much I appreciate....I had the sum for three years....I always get stuck somewhere.... Thank you!
  • yadavundertaker mohit
    yadavundertaker mohit
    gdotnet
    I cant say how much I appreciate....I had the sum for three years....I always get stuck somewhere.... Thank you!

    no thanks......it was an easy question.if you have more then you can ask..

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