Trigonometry

Find all solutions on the interval (0,2pi):

2-2cos^2=sinx+1

  1. 👍 0
  2. 👎 0
  3. 👁 263
  1. 2 - 2(1-sin^2x) - sinx - 1 = 0
    2sin^2x - sinx -1 = 0
    (2sinx + 1 )(sinx-1) = 0
    sinx = -1/2 or sinx = 1

    x = 210° or 330° or 90°
    or
    x = 7π/6 , 11π/6, or π/2

    1. 👍 0
    2. 👎 0
  2. jkjkkllklkgjsin cos

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    An equation is given. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate. If there is no solution, enter NO SOLUTION.) Find the solutions in the interval:

    asked by Janet on April 27, 2019
  2. Trigonometry

    Find all solutions of the equation in the interval [0,2pi). sec(theta)+2=0 Write your answer in radians in terms of pi

    asked by Pascal on March 25, 2014
  3. Trig

    Find all solutions of the equation in the interval [0,2pi). 2sin theta+1=0. Write answer in radians in terms of pi.

    asked by James on August 19, 2015
  4. Algebra 2

    Find the values of the inverse function in radians. sin^-1(0.65) a. 0.71+2pi n and -0.71+2pi n b. 0.71+2pi n and -3.85+2pi n c. 0.86+2pi n and -0.86 +2pi n d. -0.61+2pi n and 2.54+2pi n 2. tan^-1(0.09) a.-0.09+2pi n b. no such

    asked by Fading on May 21, 2017
  1. Math

    1. On the interval [0, 2pi] what are the solutions to the equation sin3xcos2x = -cos3xsin2x + 1? pi/10 and pi/2? 2. What is the value of tan75degrees? √(3) + 1)/(1 - √(3))? 3. Value of cos(130degrees)cos(130degrees) +

    asked by mysterychicken on June 3, 2013
  2. Pre-Calculus

    Find all solutions to the equation in the interval [0, 2pi) cos4x-cos2x=0 So,this is what i've done so far: cos4x-cos2x=0 cos2(2x)-cos2x (2cos^2(2x)-1)-(2cos^2(x)-1) No idea what to do next.

    asked by Maria on March 19, 2012
  3. Trig.......

    I need to prove that the following is true. Thanks (2tanx /1-tan^x)+(1/2cos^2x-1)= (cosx+sinx)/(cosx - sinx) and thanks ........... check your typing. I tried 30º, the two sides are not equal, they differ by 1 oh , thank you Mr

    asked by abdo on April 18, 2007
  4. precal

    identify all solutions in the interval [0,2pi]: cos (2x) csc^2x=2cos(2x) I have no clue how to solve.

    asked by DF on March 17, 2015
  1. Math

    Find all the solutions of the equation in the interval {o,2pi) sec^2x+tanx=1

    asked by Tonya on February 8, 2015
  2. Trig

    Find all solutions of the equation in the interval [0,2pi) 2 cos^2 x-cos x = 0 -2cos^2 + cosx + 0 (x+1/2) (x+0/2) (2x+1) (x+0) -1/2,0 2Pi/3, 4pi/3, pi/2, 3pi/2 my teacher circled pi/2 and 3pi/2 What did I do wrong? I don't

    asked by Anonymous on April 10, 2017
  3. math

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

    asked by alicia otto on March 26, 2016
  4. calculus

    Find all solutions in the interval [0,2π) sin3x−sinx=0

    asked by Daemon on February 6, 2018

You can view more similar questions or ask a new question.