Which quadrants?

Geometry Level 2

If ∣ sin ⁡ x + cos ⁡ x ∣ = ∣ sin ⁡ x ∣ + ∣ cos ⁡ x ∣ |\sin x + \cos x | = | \sin x | + | \cos x | , then x x may belong to the quadrant _______ \text{\_\_\_\_\_\_\_} or _______ \text{\_\_\_\_\_\_\_} .

I or III III or IV II or IV I or II

Abhiram Rao by Abhiram Rao , 18, India

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1 solution

Sahil Nare
Apr 8, 2016

Sinx and Cosx are either both positive or both negative. So x is either in first quadrant or third quadrant.

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