Math  /  Trigonometry

QuestionSolve 2cosec(2x1)=32 \operatorname{cosec}(2 x-1)=3 for πxπ-\pi \leq x \leq \pi.

Studdy Solution
Now, we need to find the values of xx that are in the interval πxπ-\pi \leq x \leq \pi. This involves finding the appropriate values of nn that satisfy this condition.
After calculating, we find that the solutions arex=arcsin(23)+12x = \frac{\arcsin\left(\frac{2}{3}\right) +1}{2}x=πarcsin(23)+12x = \frac{\pi - \arcsin\left(\frac{2}{3}\right) +1}{2}

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