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TrigonometryMediumSum, Difference, and Multiple-Angle Formulas

Sum, Difference, and Multiple-Angle Formulas · Medium problem

A wheelchair ramp rises at an angle θ\theta above the horizontal, where its slope is tan⁡θ=14\tan\theta = \dfrac{1}{4}. A second ramp rises at twice that angle, 2θ2\theta. Find the slope tan⁡2θ\tan 2\theta of the second ramp.