Trigonometry! #56

Geometry Level 3

Find the value of ( 1 + cos ⁡ π 8 ) ( 1 + cos ⁡ 3 π 8 ) ( 1 + cos ⁡ 5 π 8 ) ( 1 + cos ⁡ 7 π 8 ) \left (1+ \cos \frac {\pi}{8}\right)\left (1+ \cos \frac {3\pi}{8}\right)\left (1+ \cos \frac {5\pi}{8}\right)\left (1+ \cos \frac {7\pi}{8}\right)

This problem is part of the set Trigonometry .


The answer is 0.125.

Omkar Kulkarni by Omkar Kulkarni , 22, India

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1 solution

6 Helpful 0 Interesting 0 Brilliant 0 Confused

Master Ponce, i'm your student from Santa Cecilia University, coincidentally solving some problems in Brilliant, i came across this problem with your solution..

Ultimately, i can't follow your solution after the "1/4" appeared in the last line. Can you please explain to me from where that appeared?

Pedro Grassmann - 6 years, 3 months ago

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