anonymous
  • anonymous
2 cos theta = 1, find all solutions
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
Step by step help?
anonymous
  • anonymous
yes
anonymous
  • anonymous
Ok, so think of theta as a variable

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anonymous
  • anonymous
if theta was an 'x' how would you solve?
anonymous
  • anonymous
to be honest I have no clue.
shaik0124
  • shaik0124
2 cos theta=1 cos theta=1/2 theta=cos inverse(1/2) theta=60degrees
anonymous
  • anonymous
ok, so i would divide 2 from both sides?
anonymous
  • anonymous
Yes.
anonymous
  • anonymous
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anonymous
  • anonymous
Now, you know cos theta equals 1/2..now you want to find theta, do you know how?
anonymous
  • anonymous
oh! okay and would I just look for cos (x) value on the unit circle right?
anonymous
  • anonymous
Umm, you could do that. But im not sure if you would have the unit circle with you on your tests.
anonymous
  • anonymous
There is another way to do it, if you have a graphing calc or if you memorized the cos and sin values of the major degrees on the circle.
anonymous
  • anonymous
well no lol my precal teacher was trying to explain how to but I couldn't understand
anonymous
  • anonymous
without it*
anonymous
  • anonymous
Ohh, ok. Well try to memorize the major degrees..like 30, 60, 45, 90, 180, 270, 360.
anonymous
  • anonymous
But if you were to use your unit circle, you would look for the degrees with a cos (x value) of 1/2
anonymous
  • anonymous
|dw:1357849233772:dw|
anonymous
  • anonymous
ok, so would i use ALL of the radian values of cos 1/2?
anonymous
  • anonymous
do you know the cos and sin values of the angles I drew?
anonymous
  • anonymous
Yes, all of the values, bc the problem says find ALL
anonymous
  • anonymous
I know most of them
anonymous
  • anonymous
thank you so much, you've been a lot of help
anonymous
  • anonymous
so the solutions would be pi/3 and 5pi/3?
anonymous
  • anonymous
Yes.

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