arihert04 arihert04

06-02-2021
Mathematics

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Given f(x) = 2 sin x, find the exact value of f (7pi/6) in simplest form with a rational denominator.

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unicorn3125 unicorn3125

08-02-2021

Answer:

[tex]\bold{f(\frac{7\pi}6)=-1}[/tex]

Step-by-step explanation:

[tex]f(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\frac{7\pi}6)=2\sin(\pi+\frac{\pi}6)=-2\sin(\frac{\pi}6)=-2\cdot\frac12=-1[/tex]

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