Equation of a curve from a gradient function with a double-angle cosine and a sine term
Equation of a curve from a gradient function with a double-angle cosine and a sine term
5 marks
A curve has gradient function \(\frac{\mathrm{d}y}{\mathrm{d}x}=6\cos2x-2\sin x\), and the point \((\pi,1)\) lies on the curve. Find an expression for \(y\) in terms of \(x\).[5]
Solution:
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Answer:\(y=3\sin2x+2\cos x+3\)
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