Solve-for-real-numbers-4sin-pi-26-4xsin-3pi-26-4sin-9pi-26-x-13-

Question Number 140193 by mathdanisur last updated on 05/May/21

S o l v e f o r r e a l n u m b e r s

4 s i n \frac{π}{26} + 4 x s i n \frac{3 π}{26} + 4 s i n \frac{9 π}{26} = x + \sqrt{13}

Answered by Dwaipayan Shikari last updated on 05/May/21

x (1 - 4 s i n \frac{3 π}{26}) = 4 (s i n \frac{9 π}{26} + s i n \frac{π}{26}) - \sqrt{13}

x = \frac{4 (s i n \frac{9 π}{26} + s i n \frac{π}{16}) - \sqrt{13}}{(1 - 4 s i n \frac{3 π}{26})}

Commented by mathdanisur last updated on 05/May/21

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