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Solve the following equations:
a) `3sinx+2cos^(2)x=0`,
b) `sec^(2)2alpha=1-tan2alpha`
c) `7cos^(2)theta+3sin^(2)theta=4`
d) `4costheta-3sectheta=tantheta`

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a) `x =npi + (-1)^(n+1)pi/6, n in I`
b) `alpha=(npi)/2` or `alpha=(kpi)/2+ (3pi)/8, n, k in I`
c) `theta=npi+- pi/3, n in I`
d) `theta=npi+(-1)^(n)alpha`, where `alpha=sin^(-1)((sqrt(17)-1)/8)` or `sin^(-1)(-1-sqrt(17))/8, n in I`

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