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Let f:XtoY be a function defined by f(x)...

Let `f:XtoY` be a function defined by `f(x)=asin(x+pi/4)+bcosx+c`. If f is both one-one and onto, find sets X and Y.

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`X in [-pi/2-alpha, pi/2-alpha]` and `Y in [ c-r, c+r]`
where `alpha=tan^(-1)"((a+bsqrt2)/a)` and
`r=sqrt(a^2+sqrt2 ab +b^2)`
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PATHFINDER-FUNCTION-QUESTION BANK
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