trig equation

**loraltmath** · February 22nd 2011, 06:15 AM

Solve the equation 4 + 3 sin (2x – 1) = 6 for 0 < x < pi/2. please help me solve this equation

**Prove It** · February 22nd 2011, 06:26 AM

$\displaystyle 4 + 3\sin{(2x-1)} = 6$

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

$\displaystyle \sin{(2x-1)} = \frac{2}{3}$

$\displaystyle 2x-1 = \arcsin{\left(\frac{2}{3}\right)}$

$\displaystyle 2x = 1 + \arcsin{\left(\frac{2}{3}\right)}$

$\displaystyle x = \frac{1}{2} + \frac{1}{2}\arcsin{\left(\frac{2}{3}\right)}$

**Plague01** · February 22nd 2011, 06:27 AM

Originally Posted by loraltmath

Solve the equation 4 + 3 sin (2x – 1) = 6 for 0 < x < pi/2. please help me solve this equation

sin(2x-1)=2/3

2x-1=arcsin(2/3)

solve for x make sure calc is in radians

**loraltmath** · February 22nd 2011, 07:06 AM

make sure calc is in radians

thank you, but how do i do this?

**HallsofIvy** · February 23rd 2011, 03:30 AM

Originally Posted by loraltmath

thank you, but how do i do this?

Are you saying that you do not know what "radians" are? Do you understand what the condition you stated, " $0\le x\le \pi/2$ " means?

If you are using a calculator to find arcsin(2/3), do you know how to set the "mode" of your calculator? For example, the calculator that comes with Windows has buttons that give "Degrees", "Radians", and "Grad".

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