help with ekvation?

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December 28th 2010, 01:04 PM
paulaa

help with ekvation?

sin(5x-((4π)/3) = 1/2
December 28th 2010, 01:08 PM
pickslides

Quote:

Originally Posted by paulaa

sin(5x-((4π)/3) = 1/2

Hi there, I assume you need to solve for $x$ ?

recall $\sin \frac{\pi}{6} = \frac{1}{2}$

Can you continue?
December 28th 2010, 01:08 PM
e^(i*pi)

Work backwards from the information given. (Are you sure there isn't a interval to solve over? Something like $0 \leq x \leq 2\pi$ )

$5x - \dfrac{4\pi}{3} = \arcsin \left(\dfrac{1}{2}\right)$

If you know your special triangles then you will know that $\arcsin \left(\dfrac{1}{2}\right) = \dfrac{\pi}{6} + 2k\pi \ \ ,\ \ k \in \mathbb{Z}$

Then solve the linear equation

edit: that is one epic typo in the title if you meant equation

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