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If |sin x+cos x|=|sin x|+|cos x| (sin x ...

If `|sin x+cos x|=|sin x|+|cos x| (sin x ,cos x !=0)`, then in which quadrant does `x` lie?

Text Solution

Verified by Experts

Here we have |sin x + cos x | = | sin x | + | cos x | .
It implies that sin x and cos x must have the same sign Therefore , x lies in the first or third quadrant .
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