Question

calculati
E=sin(25pi/8)*cos(-43pi/8)

Answer 1

Răspuns:

$sin \: \frac{9\pi}{8} + 2\pi \: cos \frac{ - 43\pi}{8} = sin \: \frac{9\pi}{8} + 2\pi \: cos \frac{43\pi}{8} = sin \frac{9\pi}{8} cos \frac{43\pi}{8} = sin \frac{9\pi}{8}cos \frac{11\pi}{8} + 2 \times 2\pi = sin \frac{9\pi}{8} cos \frac{11\pi}{8} = \frac{1}{2} \times sin \frac{5\pi}{2} + sin - \frac{\pi}{4} = \frac{1}{2} \times 1 + sin - \frac{\pi}{4} = \frac{1}{2} \times 1 - \frac{ \sqrt{2} }{2} = \frac{1}{2} - \frac{ \sqrt{2} }{4}$

Soluție:½-radical din 2 supra 4

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