Which of the following is NOT equal to sin pi/3 A) sin 2pi/3 B) cos pi/6 C) cos 11pi/6 D) sin 4pi/3

Question

Which of the following is NOT equal to sin pi/3

A) sin 2pi/3
B) cos pi/6
C) cos 11pi/6
D) sin 4pi/3

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Ben Gia 4 years 2021-08-19T00:07:30+00:00 1 Answers 13 views 0

Answers ( )

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    2021-08-19T00:08:48+00:00

    Answer:

    D)  sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}

    Step-by-step explanation:

    A)

    sin(\frac{2\pi }{3} ) = sin ( \pi - \frac{\pi }{3} ) = sin\frac{\pi }{3}

    B)

    cos (\frac{\pi }{6} ) = cos ( \frac{\pi }{2} - \frac{\pi }{3} ) = sin(\frac{\pi }{3})

    C)

    cos (\frac{11\pi }{6} ) = cos ( \frac{3\pi }{2} + \frac{\pi }{3} ) = sin(\frac{\pi }{3})

    D)

     sin(\frac{4\pi }{3} ) = sin(\pi +\frac{\pi }{3} ) = -sin\frac{\pi }{3}

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