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Trigonometric Identities and equations

  1. Jan 17, 2015 #1
    1) Problem statement:
    Solve the trigonometric equation for the domain is. 0°<x<360°
    5(sinx - cosx) = 4sinx - 3cosx

    2) Relevent equations:
    secx=1/cosx
    cosec x=1/sinx
    cot x= 1/tanx
    tan x=sinx/cosx
    cot x=cosx/sinx
    sin^2 x + cos^2 x=1
    1 + tan^2 x= sec^2 x
    1+ cot^2 x = cosec^2 x

    Template of answer:
    New domain:
    Basic angle=
    Quadrants=
    Solve for x
    3)Attempt the question
    5(sin x - cosx)=4sinx - 3cosx
    5sinx-4sinx-5cosx+3cosx=0
    sinx - 2 cos x=0
     
  2. jcsd
  3. Jan 17, 2015 #2

    Orodruin

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    Fine up to here, so what is the solution to this equation?
     
  4. Jan 18, 2015 #3
    I am not sure how to continue...
     
  5. Jan 18, 2015 #4

    Orodruin

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    How about trying to rewrite it by placing the 2 cos x on the other side and then dividing by something that makes it easier?
     
  6. Jan 25, 2015 #5
    Thank you for your help, have solved it
     
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