Friday

July 25, 2014

July 25, 2014

Posted by **Jen** on Monday, August 21, 2006 at 6:26pm.

2sin^2(x/2) - 3sin(x/2) + 1 = 0

I would start:

(2sin(x/2)-1)(sin(x/2)-1) = 0

sin(x/2)=1/2 and sin(x/2)=1

what's next?

Ok, what angle has a sin equal to say 1/2

sin (x/2)=1

arc sin (1) = x/2

PI/2=x/2

solve for x

do the same technique for the other solution.

so the solution is pi and the other solution would be

arc sin (1/2) = x/2

pi/6 = x/2

x= pi/3

is that right?

**Related Questions**

Precal - I do not understand how to do this problem ((sin^3 A + cos^3 A)/(sin A...

trig - 2sin(x)cos(x)+cos(x)=0 I'm looking for exact value solutions in [0, 3&#...

trig - I need to find all solutions of the given equations for the indicated ...

math (trig) - Find sin(x/2) if sin(x)= -0.4 and 3pi/2 < or equal to (x) < ...

math - Sin(2x)=2sin(x)cos(x) find the exact value in radians with 2sin^2(x)+sin^...

math - Sin(2x)=2sin(x)cos(x) find the exact value in radians with 2sin^2(x)+sin^...

trig - find the exact solutions 2cos^2x+3sinx=0 the way it stands, that is a "...

math - y= 2sin^2 x y=1- sinx find values of x inthe interval 0<x<360 if ...

tigonometry - expres the following as sums and differences of sines or cosines ...

Precalculus - Verify the identities. Cos^2x - sin^2x = 2cos^2x - 1 When ...