Question

the minimum value of (cos x -sin x )is
a 0
b 1
c -1
d-/2​

Answer 1

Step-by-step explanation:

$cosx - sinx \\ \sqrt{2} ( \frac{1}{ \sqrt{2} } cosx - \frac{1}{ \sqrt{2} } sinx) \\ \sqrt{2} cos(x + \frac{\pi}{4} ) \\ \\ minimum \: value \: of \: function \: \\ is \: - \sqrt{2} \\ \\ hope \: it \: will \: help \: you \:$