Their gradients are sinusoidal as well!

Calculus Level pending

I've drawn two graphs, y = sin ⁡ x y = \sin x and y = cos ⁡ x y = \cos x . I noticed that at one particular point, the gradient of these curves are equal. What are the possible values of these gradients?

± 1 4 \pm \frac1{\sqrt4} ± 1 5 \pm \frac1{\sqrt5} ± 1 2 \pm \frac1{\sqrt2} ± 1 3 \pm \frac1{\sqrt3}

Pi Han Goh by Pi Han Goh , 30, Malaysia

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