Solve this equation fo rx in the interval 0<=x<=360

I would do it this way:
sinxtanx = 8/3
sin^2x/cosx = 8/3
3 - 3cos^2x = 8cosx
3cos^2x + 8cosx - 3 = 0
cosx=1/3 or cosx = -3
the last one is not possible
so x = arccos(1/3)=70.5º
or 289.5º (in the fourth quadrant)

  1. 👍 0
  2. 👎 0
  3. 👁 230
asked by Edward

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calc, Mean Value Theorem

    Consider the function : 3x^3 - 2x^2 - 4x + 1 Find the average slope of this function on the interval. By the Mean Value Theorem, we know there exists a "c" in the open interval (-2,3) such that f'(c) is equal to this mean slope.

    asked by Michael on November 10, 2006
  2. math

    find all solution to the equation 3 cos(x+4)=1. in the interval of 0

    asked by alicia otto on March 26, 2016
  3. Trigonometry

    Hi, I really need help in understanding how to solve trig equations. How do you solve this equation? Solve the equation on the interval 0 < or equal to x < or equal to 2pi. sinx = (square root of 3)/2 I appreciate your help. Thank

    asked by Leah on March 17, 2013
  4. Calculus

    The function f is continuous on the closed interval [-5,5], and f(-2) = 6, f(1) = -3, and f(4) = 6. Which of the following statements must be true? A. The equation f(x) = 0 has at least two solutions on the closed interval [-5,5].

    asked by Anonymous on April 24, 2017
  5. trig

    Can someone please help me solve this equation? Solve the equation in the interval [0°, 360°). csc θ = 1 + cot θ

    asked by Dee on May 3, 2010
  6. math

    Find all solutions to the equation tan(t)=1/tan (t) in the interval 0

    asked by alicia otto on March 26, 2016
  7. advanced functions

    solve the first equation in each pair of equations or y and /or z. Then use the same strategy to solve the second equation for x in the interval 0

    asked by 123university on January 5, 2010

    Use the Substitution method to solve the system of equations. y - 2x = -5 3y - x = 5 Solve the first equation for y. y = 2x-5 Substitute that for y in the second equation and solve for x. Then use the value of x to substitute back

    asked by SANDRO! on November 6, 2006
  9. Precalculs

    I have no idea how to do these type of problems. -------Problem-------- Solve each equation on the interval 0 less than or equal to theta less than 2 pi 42. SQRT(3) sin theta + cos theta = 1 ---------------------- There is an

    asked by Kate on February 28, 2010
  10. Math

    Can I please get some help on these questions: 1. How many solutions does the equation,2sin^2 2 θ = sin2θ have on the interval [0, 2pi]? 4? ...what about 4cos2θ = 8cos^2 2θ? 2. True or False: sin^2 4x = 1 has 8 solutions on

    asked by mysterychicken on June 2, 2013
  11. Solve Inequality

    Solve the inequality. Express your solution using interval notation and please show all of your work. x(x + 6)(8 – x) >= 0 I need help, I guess I'm not understanding the interval notation portion. I know, that when 0

    asked by Armando on May 29, 2011

More Similar Questions