PrecalculusChallengeAnalytic Trigonometry ShareAnalytic Trigonometry · Challenge problemExpress sin (4arctanx)\sin\!\big(4\arctan x\big)sin(4arctanx) as a rational function of xxx.A4x(1−x2)(1+x2)3\dfrac{4x(1-x^2)}{(1+x^2)^3}(1+x2)34x(1−x2)B4x(1−x3)(1+x2)2\dfrac{4x(1-x^{3})}{(1+x^2)^2}(1+x2)24x(1−x3)C4x(1−x2)(1+x2)2\dfrac{4x(1-x^2)}{(1+x^2)^2}(1+x2)24x(1−x2)D(1+x2)24x(1−x2)\dfrac{(1+x^2)^2}{4x(1-x^2)}4x(1−x2)(1+x2)2Check Show answer Walk through it step by step Practice more like this Review this concept