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Question Number 65929 by Masumsiddiqui399@gmail.com last updated on 06/Aug/19

Commented by kaivan.ahmadi last updated on 06/Aug/19

$$cot1=tan89$$$$cot2=tan88$$$$⋮$$$$cot44=tan46$$$$sincetan(\frac{\pi }{2}-\alpha )=cot\alpha$$$$$$$$S=({tan}^{2}1+{cot}^{2}1)+({tan}^{2}2+{cot}^{2}2)+...+({tan}^{2}44+{cot}^{2}44)+{tan}^{2}45=$$

Commented by Tony Lin last updated on 08/Aug/19

Answered by MJS last updated on 06/Aug/19

$$\frac{15931}{3}=\frac{89\times 179}{3}$$

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