hi evreyone,

here is the q:

Find the solutions of the equation sin θ = 1/2 if:

(a) θ is in the interval [0, 2 pi )

(b) θ is any real number

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- Nov 5th 2006, 10:09 AMmHadadA q about finiding a solution for a Trig. Function
hi evreyone,

here is the q:

Find the solutions of the equation sin θ = 1/2 if:

(a) θ is in the interval [0, 2 pi )

(b) θ is any real number - Nov 5th 2006, 10:12 AMThePerfectHacker
- Nov 5th 2006, 10:28 AMmHadad
i have read in a solution for a q that sin θ = 2 has no solution, why?

- Nov 5th 2006, 10:30 AMQuick
- Nov 5th 2006, 10:33 AMThePerfectHacker
- Nov 5th 2006, 12:03 PMQuick
- Nov 5th 2006, 12:05 PMCaptainBlack
If $\displaystyle \theta$ is a solution of $\displaystyle \sin(\theta)=1/2$ then so is $\displaystyle \theta_n = \theta+2\pi n, \ \ n=\pm 1, \ \pm 2, ...$.

So using the solutions given by**Im**PerfectHacker we have:

$\displaystyle \pi/6+2 \pi n, n=0,\ \pm 1,\ \pm 2,\ ...$, and $\displaystyle 5 \pi/6+2 \pi n, n=0,\ \pm 1,\ \pm 2,\ ...$ comprise all the real solution.

RonL - Nov 5th 2006, 01:09 PMThePerfectHacker