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4 votes
Evaluate cosπ/11+cos3π/11+cos5π/11+cos7π/11+cos9π/11

User Sevenkul
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2 Answers

3 votes
The cosine repeats every 2pi, so the terms of the expression are all equal, and you have 5 cos(pi/11), which totals up to about 4.797 .
User Joe Slater
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1 vote
Using a calculator, the answer will be 1/2 as a result of all the / and use of opposite πs that form 18 making a whole circle.
User Piyush Sonigra
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9.0k points