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borisovaaleksan
@borisovaaleksan
July 2022
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Найти значение выражения
[tex] \sqrt{2} * cos^{2} \frac{3 \pi }{8} - sin^{2} \frac{3 \pi }{8} [/tex]
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√2Cos² 3П/8 - √2Sin² 3П/8 = √2(Cos² 3П/8 - Sin² 3П/8) = √2Cos 3П/4=
= √2Cos(П - П/4) = - √2Cos П/4 = - √2
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Verified answer
√2Cos² 3П/8 - √2Sin² 3П/8 = √2(Cos² 3П/8 - Sin² 3П/8) = √2Cos 3П/4== √2Cos(П - П/4) = - √2Cos П/4 = - √2