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If |s in x+cos x|=|s in x|+|cos x|(s in ...

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

Text Solution

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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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