Math

posted by .

solve the equation
sin(3x) + (1/2) = 2cos^2(x)
for X to be between 0 and 360

  • Math -

    Use the relation
    cos²(x)=1-sin²(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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Math - Solving Trig Equations

    Solve each equation on the interval: 0 is less than and equal to theta is less than and equal to 360 -- 2sin2x = 1 -- --- My Answers: Let y represent 2x 2siny = 1 2siny/2 = 1/2 siny = 1/2 y = sin^-1(1/2) y = 30 2x = 30 2x/2 = 30/2 …
  2. Math - Solving for Trig Equations

    Solve the following equation for 0 less than and/or equal to "x" less than and/or equal to 360 -- cos^2x - 1 = sin^2x -- Attempt: cos^2x - 1 - sin^2x = 0 cos^2x - 1 - (1 - cos^2x) = 0 cos^2x - 1 - 1 + cos^2x = 0 2cos^2x - 2 = 0 (2cos^2x/2)= …
  3. Math - Solving Trig Equations

    What am I doing wrong? Equation: sin2x = 2cos2x Answers: 90 and 270 .... My Work: 2sin(x)cos(x) = 2cos(2x) sin(x) cos(x) = cos(2x) sin(x) cos(x) = 2cos^2(x) - 1 cos(x) (+/-)\sqrt{1 - cos^2(x)} = 2cos^2(x) - 1 cos^2(x)(1 - cos^2(x))
  4. math

    solve each equation for 0=/<x=/<2pi sin^2x + 5sinx + 6 = 0?
  5. trig

    Solve the equation on the interval [0,360) cos^2t+2cos(t)+1=0
  6. Calc

    Which functions of x and y in terms of time t can be derived from this rectangular equation?
  7. MathsSs triG

    Consider sin(x-360)sin(90-x)tan(-x)/cos(90+x) 1.A.SIMPLIFY sin(x-360)sin(90-x)tan(-x)/cos(90+x) to a single trigonometric ratio B.hence or otherwise without using a calculator,solve for X if 0<X<360. sin(x-360)sin(90-x)tan(-x)/cos(90+x) …
  8. Precalculus

    Solve the equation in the indicated domain. 1. 2cos^2 x-5cos x +2=0 x E[0,360) 2. sin^2 x+5 sin x +6=0 x E[0,360) *assume x is theta
  9. PRECALCULUS

    Solve the equation in the indicated domain. 1. 2cos^2 x-5cos x +2=0 x E[0,360) 2. sin^2 x+5 sin x +6=0 x E[0,360)
  10. Math - Linear Approximation

    I have a follow-up question from a problem I posted earlier: Approximate sin(61π/360): So, sin(60π/360 + π/360) = sin(π/6 + (π/360)) Now the equation for linear approximation is f(x+a)=f(a)+f'(a)(x-a). To get the right answer, …

More Similar Questions