Question: Show the following

1. If x = \(r\cos u\cos v\) , y = \(r\cos u\sin v\) , \(z=r\sin u\), verify that \[{{x}^{2}}+{{y}^{2}}+{{z}^{2}}={{r}^{2}}\]
2. Find the real zeros of f(x) = \[4{{\sin }^{2}}x-3\] in the interval [0, \[2\pi )\]
3. Solve \[2{{\sin }^{3}}x-{{\sin }^{2}}x-2\sin x+1=0\] in the interval [0, \[2\pi )\]

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