# help with ekvation?

• 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