1. Questions

Trigonometry

How do I solve these?

1) 2sinxcosx-cosx=0
2) cos^2(x)-0.5cosx=0
3) 6sin^2(x)-5sinx+1=0
4) tan^2(x)+tanx-12=0

  1. 👍
  2. 👎
  3. 👁
  4. ℹ️
  5. 🚩
.

  1. Factor them and set each of the factors equal to zero. Examples:
    (1) cos x(2 sinx -1) = 0
    cos x = 0 or sin x = 0.5
    x = pi/2, 3 pi/2; pi/6, 5 pi/6
    (4) (tanx -3)(tanx +4) = 0
    x = tan^-1 (1/3) or tan^-1(-1/4)

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    drwls

  2. My answers above are in radians. You can easily convert them to degrees, if that is what they want.

    pi/2 radians it 90 degrees, etc

    1. 👍
    2. 👎
    3. ℹ️
    4. 🚩
    drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Solve 6sin^2 x-5cosx-2=0 in the interval 0≤x≤2π

  2. Math, please help

    Which of the following are trigonometric identities? (Can be more then one answer) tanx cosx cscx = 1 secx-cosx/secs=sin^2x 1-tanxtany=cos(x+y)/cosxcosy 4cosx sinx = 2cosx + 1 - 2sinx Find all solutions to the equation cosx

  3. Pre-calculus

    Prove the following identities. 1. 1+cosx/1-cosx = secx + 1/secx -1 2. (tanx + cotx)^2=sec^2x csc^2x 3. cos(x+y) cos(x-y)= cos^2x - sin^2y

  4. solving trig. equations

    tan(3x) + 1 = sec(3x) Thanks, pretend 3x equals x so tanx + 1 = secx we know the law that 1 + tanx = secx so tanx + 1 becomes secx and... secx = secx sec(3x) = sec(3x) [just put 3x back in for x- you don't really have to change 3x

  1. math trigonometry

    Simplify the following expression to a single trigonometric term sin(360-x)*tan(-x)/cos(180 x)*(sin^2A cos^2A) answer= -sinx*-tanx/cosx*(1) after that how do i continue?

  2. 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

  3. math

    prove that 2sinxcosx-cosx/1 -sinx+sin^2x-cos^2x=cotx

  4. Math

    How do I solve this? tan^2x= 2tanxsinx My work so far: tan^2x - 2tanxsinx=0 tanx(tanx - 2sinx)=0 Then the solutions are: TanX=0 and sinX/cosX = 2 sin X Divide through by sinX: we have to check this later to see if allowed (ie sinX

  1. Math

    1)A piano tuner uses a tuning fork. If middle C has a frequency of 264 vibrations per second, write an equation in the form d=sinw(t) for the simple harmonic motion. 2) Verify the identity tan^2X-cot^2X/tanX+cotX=tanX-cotX I'm not

  2. Maths

    Express each of the following in the form Rsin(x+a), where r>0 and 0< a

  3. Trig

    Given: cos u = 3/5; 0 < u < pi/2 cos v = 5/13; 3pi/2 < v < 2pi Find: sin (v + u) cos (v - u) tan (v + u) First compute or list the cosine and sine of both u and v. Then use the combination rules sin (v + u) = sin u cos v + cos v

  4. maths

    hey, i would really appreciate some help solving for x when: sin2x=cosx Use the identity sin 2A = 2sinAcosA so: sin 2x = cos x 2sinxcosx - cosx = 0 cosx(2sinx - 1)=0 cosx = 0 or 2sinx=1, yielding sinx=1/2 from cosx=0 and by

View more similar questions or ask a new question.