posted by .

Find all solutions to the equation

2cos(2x) = x + 1, correct to 4 decimal places.

  • trig -

    2 cos(2x) never gets out of the range [-2,2]

    So, whenever |x+1| > 2, there are no solutions.
    That means all solutions are in [-3,1]

    A little Newton-Raphson should work nicely here, or a bisection method.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. trig

    I need to find all solutions of the given equations for the indicated interval. Round solutions to three decimal places if necessary. 1.) 3sin(x)+1=0, x within [0,2pi) 2.) 2sin(sq'd)(x)+cos(x)-1=0, x within R 3.) 4sin(sq'd)(x)-4sin(x)-1=0, …
  2. trig

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

    2cos^2Beta-Cosbeta=0 (find all solutions for the equation in the interval 0, 2 pi). I have no idea how to go about doing this. Do you isolate the beta on one side?
  4. trig

    Find the solutions to the equation cos2x=sinx and 2cos^2x-3cosx-3=0
  5. Trigonometry

    Find all solutions between 0 and 2pi. Round to two decimal places. In radians. Find all solutions between 0 and 2 pi. Round to two decimal places for the final solutions. The answers should be in radian mode. If you can use exact values …
  6. Precalculus II

    Find all real solutions to four decimal places to the equation sec^2(x)+ 3 tan(x)=5
  7. trigonometry

    Find all solutions on the interval [0.2pi) A) -3sin(t)=15cos(t)sin(t) I have no clue... b) 8cos^2(t)=3-2cos(t) All i did was move around the equation to make an quadratic for B. so -8cos^2(t)-2cos(t)+3 = 0
  8. Calculus

    Find all solutions of the equation correct to three decimal places. (ex: 0.617 or -1.764) x^3=3x-3
  9. maths

    (a) Solve the following equations for x where possible, giving your solutions correct to three decimal places. (i) 3^x+1 -1=5 (ii) 3×4^x =4×4^1-2x (b) Confirm that any solutions you found in part (a) are (approximately) correct by …
  10. calculus 1

    Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter your answers as a comma-separated list.) 6 cos(x) = x + 1 can somebody explain to me step by step on how to solve this problem?

More Similar Questions