Math  /  Trigonometry

Question8. Determine all possible values for xx when 0x2π0 \leq x \leq 2 \pi for each of the following. Give answers in simplest exact form. [A6] a. sin8π23=sinx,x8π23\sin \frac{8 \pi}{23}=\sin x, \quad x \neq \frac{8 \pi}{23}

Studdy Solution
Exclude the given value x=8π23x = \frac{8\pi}{23}. The only solution within the interval is:
x=15π23 x = \frac{15\pi}{23}
The possible value for x x is:
15π23 \boxed{\frac{15\pi}{23}}

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