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Question Number 4600 by Yozzii last updated on 11/Feb/16

$$FindthevalueofSwhereS=\underset{r=1}{\sum ^{89}}{sin}^{6}r°.$$

Commented by FilupSmith last updated on 11/Feb/16

$${\mathrm{Don}}^{\prime }\mathrm{t}\mathrm{you}\mathrm{use}\mathrm{the}\mathrm{series}\mathrm{representation}$$$$\mathrm{for}\mathrm{sine}?$$

Commented by Yozzii last updated on 11/Feb/16

$${That}^{\prime }snotnecessaryhere.$$

Commented by Yozzii last updated on 12/Feb/16

$$Tryusingthefactthat$$$$sin(90-\alpha °)=cos\alpha ,\alpha \in \mathbb{R}.$$

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