Posted by **Devon** on Monday, April 16, 2007 at 9:14pm.

find the exact solutions

2cos^2x+3sinx=0

the way it stands, that is a "nasty" question.

Are you sure the second term isn't 2sin(2x) ?

no, its as i wrote it.

then it's got me stymied, I must be missing something rather obvious, sorry!

thanks for trying!

2cos^2x+3sinx=0

2-2sin^2x + 3 sinx=0

sin^2 x - 3/2 sin x - 1=0

quadratic equation..

sinx= (3/2 +-sqrt(9/4 +4) /2

sinx= 3/4 +- 5/4

sin x= -1/2 works.

check me.

thank you!

## Answer This Question

## Related Questions

- help, bobpursely - Please take a look at DEVON's trig equation at 9:14 I must be...
- Math - Solving Trig Equations - Solve each equation for 0 is less than and equal...
- trig - how can i find all the exact solutions to the equation : 2cos^2x + 3sinx...
- trig - 2sin(x)cos(x)+cos(x)=0 I'm looking for exact value solutions in [0, 3&#...
- Vector Calculus - Hello...i had a question. I would really appreciate it if ...
- math - the problem is 2cos^2x + sinx-1=0 the directions are to "use an identity ...
- trig - find the exact solutions (¦È in degrees) sin^2¦È+2cos¦È=-2 range= 0¡Ü¦È&...
- trig - What is the shift along x of the following trig functions? y = (3sinx/2...
- equations trig - 2cos^2x-3sinx=0
- trig - findall exact solutions ( in terms of radians) to the equation 2cos(40)-...

More Related Questions