What is the value of cos(pi/(11))+cos((3pi)/(11))+cos((8pi)/(11))+cos((10pi)/(11)) ?

The value of cos(pi/(11))+cos((3pi)/(11))+cos((8pi)/(11))+cos((10pi)/(11)) is 0

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cos(pi/(11))+cos((3pi)/(11))+cos((8pi)/(11))+cos((10pi)/(11))

cos (\frac{π}{11}) + cos (\frac{3 π}{11}) + cos (\frac{8 π}{11}) + cos (\frac{10 π}{11})

0

Solution steps

cos (\frac{π}{11}) + cos (\frac{3 π}{11}) + cos (\frac{8 π}{11}) + cos (\frac{10 π}{11})

Refine to a decimal form

= 0

\frac{14}{tan ( 2 8 ^{\circ} )}

6 tan (4 5^{\circ}) + 8 sin (3 0^{\circ})

cos (15 7^{\circ})

4 cos (22 5^{\circ})

4 \frac{cos ( 5 0 ^{\circ} )}{sin ( 4 0 ^{\circ} )} - 2 \frac{tan ( 3 0 ^{\circ} )}{cot ( 6 0 ^{\circ} )}

What is the value of cos(pi/(11))+cos((3pi)/(11))+cos((8pi)/(11))+cos((10pi)/(11)) ?
The value of cos(pi/(11))+cos((3pi)/(11))+cos((8pi)/(11))+cos((10pi)/(11)) is 0