LET'S SOLVE THE PUZZLE On October 4, 2006, Akira Haraguchi broke www.alchetron.com his own record by reciting the number pi (r) to 100,000 decimal places. How long did it take him to do this? To answer the question, you need to simplify the following trigonometric expres- sions using trigonometric identities. Choose the letter which corresponds to your solution in the box below to reveal the answer: E. sec A H. tan²A 1. csc A tan A 2. sin x + cot x cos x 3. csc2B - cot2B 4. sec²0- cos²0sec²0 5. sin²A + cos²A + tan²A 6. cos A (1 + tan²A) Write your answer here: 3 5 N. csc x O. sin² t 12 9 1 S. 1 T. cot² x 6 312157265330 43383279 39379375 45923078 7. 8. 9. 10. 2 X. -1 U. sin B sin t csc t- cos² t sec B sin B tan B (csc x + 1)(csc x - 1) sin A cos A tan A 11. (csc B + cot B)(1 - cos B) 12. (tan²0 - sec²0)(sin²0 + cos²0) 4 7 R. cos B I. sec² A 11 8 10

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