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If |sinx + cosx| = |sinx| + |cosx|, then x belongs to the quadrant

(A)  I or III 

(B)  II or IV 

(C)  I or II 

(D)  III or IV 

1 Answer

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Correct option  (A) I or III

Given |sin x + cos x| = |sin x| + |cos x|

Then sin x and cos x both will be positive or negative. Hence, x belongs to I quadrant or III quadrant.

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