Let f(x) = ab sin x+ b sqrt( 1-a^2) cos ...

Let `f(x) = ab sin x+ b sqrt( 1-a^2) cos x+c`, where `|a| lt 1, b gt 0` then

maximum value of `f(x)` is `b` if `c=0`

difference of maximum and minimum values of `f(x)`. Is `2b`

`f(x) = c` if `x = - cos^(-1) a`

`f(x) = c` if `x= cos^(-1) a`

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