Posted by sahmit on Thursday, April 14, 2011 at 4:02am.
solve the equation
sin(3x) + (1/2) = 2cos^2(x)
for X to be between 0 and 360

Math  MathMate, Thursday, April 14, 2011 at 10:34am
Use the relation
cos²(x)=1sin²(x)
to convert the equation to a quadratic in sin(x).
Solve for the value of sin(x), say s1 and s2 and reject any impossible roots such as s>1.
For the remaining root(s), solve for
sin(θ)=s. There should always be two values of θ (0≤ θ<360°)for each valid value of s, where 1≤s≤+1.
If you need further help, post.
Answer This Question
Related Questions
 Precalculus  Solve the equation in the indicated domain. 1. 2cos^2 x5cos x +2=...
 PRECALCULUS  Solve the equation in the indicated domain. 1. 2cos^2 x5cos x +2=...
 Math  Solving for Trig Equations  Solve the following equation for 0 less than...
 MathsSs triG  Consider sin(x360)sin(90x)tan(x)/cos(90+x) 1.A.SIMPLIFY sin(x...
 trig  Solve the equation on the interval [0,360) cos^2t+2cos(t)+1=0
 Math  Solving Trig Equations  What am I doing wrong? Equation: sin2x = 2cos2x ...
 Calc  Which functions of x and y in terms of time t can be derived from this ...
 math  solve each equation for 0=/<x=/<2pi sin^2x + 5sinx + 6 = 0? how do ...
 Math  Solving Trig Equations  Solve each equation on the interval: 0 is less ...
 Mathematics  Show that cos (θ40) = sin (θ+50). Hence, or otherwise, ...
More Related Questions