Final Answer
$\frac{47}{168}$
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Step-by-step Solution
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1
Divide $3$ by $25$
$\arctan\left(\frac{\sin\left(\frac{3}{25}\right)+\frac{1}{5}\sin\left(\frac{16}{25}\right)}{\cos\left(\frac{3}{25}\right)-\frac{1}{5}\cos\left(\frac{16}{25}\right)}\right)$
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$\arctan\left(\frac{\sin\left(\frac{3}{25}\right)+\frac{1}{5}\sin\left(\frac{16}{25}\right)}{\cos\left(\frac{3}{25}\right)-\frac{1}{5}\cos\left(\frac{16}{25}\right)}\right)$
Learn how to solve problems step by step online. Factor by completing the square arctan((sin(3/25)+1/5sin(16/25))/(cos(3/25)+-1/5cos(16/25))). Divide 3 by 25. Divide -1 by 5. Divide 16 by 25. Divide 3 by 25.
Final Answer
$\frac{47}{168}$