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Zetta Paper 1 · Q15

Paper 1Trigonometry

Given that xx is in radians, write

sin⁡(2arctan⁡(x))\sin(2\arctan(x))

without using trigonometric functions.

A11+x2\frac1{\sqrt{1+x^2}}
B1+x22x\frac{1+x^2}{\sqrt{2x}}
Cx1+x2\frac{x}{\sqrt{1+x^2}}
D2x1+x2\frac{2x}{1+x^2}
E12x\frac1{\sqrt{2x}}
F2x1−x2\frac{2x}{1-x^2}

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