2 cos theta = 1, find all solutions

- anonymous

2 cos theta = 1, find all solutions

- chestercat

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- anonymous

Step by step help?

- anonymous

yes

- anonymous

Ok, so think of theta as a variable

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## More answers

- anonymous

if theta was an 'x' how would you solve?

- anonymous

to be honest I have no clue.

- shaik0124

2 cos theta=1
cos theta=1/2
theta=cos inverse(1/2)
theta=60degrees

- anonymous

ok, so i would divide 2 from both sides?

- anonymous

Yes.

- anonymous

|dw:1357848817327:dw|

- anonymous

Now, you know cos theta equals 1/2..now you want to find theta, do you know how?

- anonymous

oh! okay and would I just look for cos (x) value on the unit circle right?

- anonymous

Umm, you could do that. But im not sure if you would have the unit circle with you on your tests.

- 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

well no lol my precal teacher was trying to explain how to but I couldn't understand

- anonymous

without it*

- anonymous

Ohh, ok. Well try to memorize the major degrees..like 30, 60, 45, 90, 180, 270, 360.

- 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

|dw:1357849233772:dw|

- anonymous

ok, so would i use ALL of the radian values of cos 1/2?

- anonymous

do you know the cos and sin values of the angles I drew?

- anonymous

Yes, all of the values, bc the problem says find ALL

- anonymous

I know most of them

- anonymous

thank you so much, you've been a lot of help

- anonymous

so the solutions would be pi/3 and 5pi/3?

- anonymous

Yes.

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