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Math Help - Using differentiation to solve problems

  1. #1
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    Question Using differentiation to solve problems

    Thank you in advance for help with this.

    If x = sin θ and y = sec θ, find dy/dx in terms of sin θ and cos θ
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  2. #2
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    If y and x are both functions of a variable t then dy/dx is (dy/dt) / (dx/dt): that is, it is the quotient of the two derivatives. In this case x = sin t and y = sec t, so dx/dt is cos t and y is 1/cos t, so dy/dt is sin t/cos^2 t (by the chain rule). So dy/dx is sin t/cos^3 t.
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  3. #3
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    Thank you rgep for your help!
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