Mathematics, 04.08.2021 07:00 leslie4759
Consider the following expression:tan(25π24)−tan(3π8)1+t an(25π24)tan(3π8)\dfrac{\tan\left ( \dfrac{25\pi}{24} \right) - \tan\left( \dfrac{3\pi}{8} \right)}{1 + \tan\left( \dfrac{25\pi}{24} \right)\tan\left( \dfrac{3\pi}{8} \right)}1+tan(2425π)tan(83π)tan(2 425π)−tan(83π)start fraction, tangent, left parenthesis, start fraction, 25, pi, divided by, 24, end fraction, right parenthesis, minus, tangent, left parenthesis, start fraction, 3, pi, divided by, 8, end fraction, right parenthesis, divided by, 1, plus, tangent, left parenthesis, start fraction, 25, pi, divided by, 24, end fraction, right parenthesis, tangent, left parenthesis, start fraction, 3, pi, divided by, 8, end fraction, right parenthesis, end fractionFind the exact value of the expression without a calculator.[Hint: This diagram of special trigonometry values may help.]
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Consider the following expression:tan(25π24)−tan(3π8)1+t an(25π24)tan(3π8)\dfrac{\tan\left ( \df...
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