3 years ago

Please help I'll mark brainliest

Mathematics

1 answer:

igor_vitrenko [27]3 years ago

6 0

3 is the answer to the question

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3 years ago

Solve the equation in the interval 0 to 2pi.

galben [10]

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You don't need to single out $\cos \theta$ to solve this question.

To solve:

$\begin{aligned}3 \cos 4 \theta & = -2\\\\\cos 4 \theta & = -\dfrac{2}{3}\\\\4 \theta & = \cos^{-1}\left( -\dfrac{2}{3\right)}\\\\\implies 4 \theta & =2.30053... \pm 2 \pi n, -2.30053...\pm 2 \pi n\\\\\theta & =\dfrac{2.30053...}{4} \pm \dfrac{\pi n}{2}, -\dfrac{2.30053...}{4}\pm \dfrac{\pi n}{2}\end{aligned}$