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Math Help - Differentiation (3)

  1. #1
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    Differentiation (3)

    Hello!

    If sin y = 2 sin x, show that (dy/dx)^2 = 1 + 3 sec^2 y

    I tried implicit differentiation and I found dy/dx = 2 cos x / 2 cos y, but I don't know how to continue from there...

    Thank you for helping!!
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  2. #2
    MHF Contributor kalagota's Avatar
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    Quote Originally Posted by Tangera View Post
    Hello!

    If sin y = 2 sin x, show that (dy/dx)^2 = 1 + 3 sec^2 y

    I tried implicit differentiation and I found dy/dx = 2 cos x / 2 cos y, but I don't know how to continue from there...

    Thank you for helping!!
    <br />
\frac{dy}{dx} = \frac{2\cos x}{\cos y}


    <br />
\left(\frac{dy}{dx}\right)^2 = \frac{4\cos^2 x}{\cos^2 y}

    what is \cos^2 x =?
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