anonymous
  • anonymous
By using the method [acosθ+bsinθ=ccos(θ+α)] Find values of θ up to 360 degrees from equation 2sinθ+4cosθ=√5
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Let 2sin/theta/ +4 cos/theta/ = rcos(theta + alpha) then 2sin/theta/ + 4cos/theta/ = r(costheta * cosalpha - sintheta * sinalpha) 2 sin/theta/ + 4cos/theta/ = (-r*sinalpha)sin/theta/ + (r cosalpha) cos/theta/ =>-rsinalpha =2 =>r cosalpha =4
anonymous
  • anonymous
Now, can u find r and alpha?
anonymous
  • anonymous
Yes should be ok from here. Thats great thanks

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anonymous
  • anonymous
welcome
anonymous
  • anonymous
Just gone through it again fully got it now thanks again. Very quick math from you
anonymous
  • anonymous
welcome again

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