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The equation |sinx| + |cosx| = 3/2 has

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in Trigonometry by (53.5k points)

The equation |sinx| + |cosx| = 3/2 has

(A) One solution

(B) Two solutions

(C) Infinite number of solutions

(D) No solution

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1 Answer

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Best answer

Correct option (D) No solution

No solution as |sin x| ≤1,|cos x|≤1 and both of them do not attain their maximum value for the same angle.

|sin x| + |cos x|∈[1,√2]

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