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Find the maximum and minimum values of each of the following trigonometrical expression: `s intheta-costheta+1`

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Given as
`f(theta) = sin theta – cos theta + 1 `
Therefore, here A = -1, B = 1 And c = 1
`=>1 – sqrt([(-1)^2 + 1^2]) <=sin theta – cos theta + 1 <=1 + sqrt([(-1)^2 + 1^2]) `
`=>1 – sqrt((1 + 1)) <=sin theta – cos theta + 1 <=1 + sqrt((1 + 1)) `
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