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Simplifying r(t) = 144cos2(2t) + -144sin2(2t) + 25 Multiply r * t rt = 144cos2(2t) + -144sin2(2t) + 25 Remove parenthesis around (2t) rt = 144cos2 * 2t + -144sin2(2t) + 25 Reorder the terms for easier multiplication: rt = 144 * 2cos2 * t + -144sin2(2t) + 25 Multiply 144 * 2 rt = 288cos2 * t + -144sin2(2t) + 25 Multiply cos2 * t rt = 288cos2t + -144sin2(2t) + 25 Remove parenthesis around (2t) rt = 288cos2t + -144in2s * 2t + 25 Reorder the terms for easier multiplication: rt = 288cos2t + -144 * 2in2s * t + 25 Multiply -144 * 2 rt = 288cos2t + -288in2s * t + 25 Multiply in2s * t rt = 288cos2t + -288in2st + 25 Reorder the terms: rt = 25 + 288cos2t + -288in2st Solving rt = 25 + 288cos2t + -288in2st Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Divide each side by 't'. r = 25t-1 + 288cos2 + -288in2s Simplifying r = 25t-1 + 288cos2 + -288in2s Reorder the terms: r = 288cos2 + -288in2s + 25t-1
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