Prove that from the equality (sin^(4)alp...

Prove that from the equality `(sin^(4)alpha)/a+(cos^(4)alpha)/b=1/(a+b)` follows the relations, `(sin^(8)alpha)/a^(3) +(cos^(8)alpha)/b^(3)=1/(a+b)^(3)`
a) If `y=10cos^(2)x-6sinxcosx+2sin^(2)x`, then find the greatest and least value of y.
b) If `y=1+2sinx+3cos^(2)x`, find the maximum and minium values of `y AA x in R`.
c) If `y=9sec^(2)x+16" cosec "^(2)x,` find the minimum value of y for all permissible value of x.

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