Posted by Megan on Wednesday, December 8, 2010 at 8:20pm.
2sin^2x+3cosx=3 find all solutions in the interval [0,2pi]

Precalculus  MathMate, Wednesday, December 8, 2010 at 9:32pm
Use the identity sin²(x)=1cos²(x).
So
2sin^2x+3cosx=3 becomes
2cos²(x)3cos(x)1=0
Solve the quadratic for cos(x),
I get cos(x)=1 or cos(x)=1/2
On the interval [0,2π], each value of cos(x) has two solutions for a total of 4 values of x.
Answer This Question
Related Questions
 Math  Can I please get some help on these questions: 1. How many solutions does...
 math  Find all solutions to the equation tan(t)=1/tan (t) in the interval 0<...
 trig  Find all solutions of the equation 2sin^2xcosx=1 in the interval [0,2pi...
 trig  I need to find all solutions of the given equations for the indicated ...
 Math Trig  Find all solutions on the interval [0,2pi] for the following: 2sin^2...
 Trig  Find all solutions of the equation in the interval [0,2pi). 2sin theta+1=...
 Precalculus  2sin^2x+3cosx=3
 Trig  Find all of the solutions between 0 and 2pi: 2sin(x)^2 = 2 + cos(x)
 Precalculus II  Find exactly all solutions in [0,2pi) to 4sin(x)cos(x) = 1
 pre calc  find all solutions on 0 is greater than or equal to theta < 2pi ...
More Related Questions