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Q.

The value of ∑r=010 cos3⁡rπ3 is equal to

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a

¼

b

1/8

c

d

-1/8

answer is D.

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Detailed Solution

∑r=010 cos3⁡rπ3=14∑r=010 3cos⁡rπ3+cos⁡rπ=143cos⁡0+cos⁡π3+…+cos⁡10π3+(1−1+…−1+1)=34cos⁡10π6sin⁡11π6sin⁡π6+14=−18
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