# trig

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

sinx= (3/2 +-sqrt(9/4 +4) /2
sinx= 3/4 +- 5/4

sin x= -1/2 works.

check me.

thank you!

1. 👍 0
2. 👎 0
3. 👁 142

## Similar Questions

1. ### trig

how can i find all the exact solutions to the equation : 2cos^2x + 3sinx = 3 the solutions have to be between [0,2pi)

asked by Joe on July 18, 2009
2. ### Math - Solving Trig Equations

Solve each equation for 0 is less than and equal to "x" is less than and equal to 360 3sinx = 2cos^{2}x ----- I don't know how to solve this equation...this is what I have, but I don't know if I'm on the right track or not 3sinx =

asked by Anonymous on November 21, 2007
3. ### trig

find the exact solutions (¦È in degrees) sin^2¦È+2cos¦È=-2 range= 0¡Ü¦È

asked by Devon on April 16, 2007
4. ### Trigonometry

Need help solving problems using the Trigonometric Identities: 8cos^4 thet=cos4theta+4cos2theta+3 I am a bit unsure how to solve it. I am aware that the first step I must take is to simplify the problem and then use the Product to

asked by sierra on April 23, 2007
5. ### equations trig

2cos^2x-3sinx=0

asked by LiNnda on May 3, 2010
6. ### trig

findall exact solutions ( in terms of radians) to the equation 2cos(40)-radical 3 =0

asked by boll on March 1, 2010
7. ### Precalculus

Please help!!!!!!!!!!! Find all solutions to the equation in the interval [0,2π). 8. cos2x=cosx 10. 2cos^2x+cosx=cos2x Solve algebraically for exact solutions in the interval [0,2π). Use your grapher only to support your

asked by Anonymous on January 3, 2013
8. ### Maths

Solve for x (exact solutions): sin x - sin 3x + sin 5x = 0 ¦Ð ¡Ü x ¡Ü ¦Ð ---------------- Thankyou. I tried find the solutions on my graphics calculator but however, the question is to find the EXACT solution(s) for the

asked by sqleung on February 28, 2008
9. ### 10th grade math help

How do you solve? 3-3sinx-2cos^2(x) = 0

asked by Sophie on December 13, 2010
10. ### help, bobpursely

Please take a look at DEVON's trig equation at 9:14 I must be missing something obvious. If the second had been 3sin 2x it would be a straight forward question. The way it stands I was able to "reduce" it to the equation 8sin^4 x

asked by Reiny on April 16, 2007

More Similar Questions