Im having a little trouble answering these problems.

Note: Q represents the symbol that looks like a zero with a line across. (Not sure what its called.

1.) 1 - 2 sin(Q) = sin(Q) - sqrt(3)

2.) 2 (sin^2)(Q) = 1 - sin (Q)

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- Sep 4th 2007, 02:27 PMceasar_19134Trigonometric equations
Im having a little trouble answering these problems.

Note: Q represents the symbol that looks like a zero with a line across. (Not sure what its called.

1.) 1 - 2 sin(Q) = sin(Q) - sqrt(3)

2.) 2 (sin^2)(Q) = 1 - sin (Q) - Sep 4th 2007, 02:48 PMKrizalid
- Sep 4th 2007, 02:50 PMtopsquark
It's $\displaystyle \theta$ and it's pronounced "theta." We can stick with Q's though.

$\displaystyle 1 - 2sin(Q) = sin(Q) - \sqrt{3}$

$\displaystyle -3sin(Q) = -1 - \sqrt{3}$

$\displaystyle sin(Q) = \frac{1}{3} + \frac{\sqrt{3}}{3}$

This has no "nice" solution. So

$\displaystyle Q \approx 1.14494~rad$

-Dan