(5sinx)/5=2/5

sinx=2/3

sin

^{-1}(2/5)=23.5781

So does this mean there is only one solution to this equation?

If not, how do I find the other answers?

How many solutions are there to the equation 5sinx=2 for the domain 0<x<4pi?

(5sinx)/5=2/5

sinx=2/3

sin^{-1}(2/5)=23.5781

So does this mean there is only one solution to this equation?

If not, how do I find the other answers?

(5sinx)/5=2/5

sinx=2/3

sin

So does this mean there is only one solution to this equation?

If not, how do I find the other answers?

- maggiemagnet
**Posts:**325**Joined:**Mon Dec 08, 2008 12:32 am-
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sully039 wrote:How many solutions are there to the equation 5sinx=2 for the domain 0<x<4pi?

(5sinx)/5=2/5

sinx=2/3

sin^{-1}(2/5)=23.5781

So does this mean there is only one solution to this equation?

No; it means that the

sully039 wrote:If not, how do I find the other answers?

Use what you know about graphing sine to find the other places where the graph is at the same height as for the primary solution. Then use symmetry to find the "exact" values by adding or subtracting 23.5781 from 0, pi, 2pi, etc.