Mathematics

Mathematics

Problem

For an angle xx it is given that sin⁡x=725\sin x=\dfrac{7}{25} and cos⁡x=2425\cos x=\dfrac{24}{25}. (a) Find tan⁡x\tan x. (b) Using the value of tan⁡x\tan x, evaluate the expression E=1−tan⁡2x1+tan⁡2xE=\frac{1-\tan^{2}x}{1+\tan^{2}x} and simplify your answer.

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