My Math Forum find the possible values of sin theta if cos theta = 2/3

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 May 3rd, 2018, 02:49 AM #1 Newbie   Joined: May 2018 From: UK Posts: 2 Thanks: 0 find the possible values of sin theta if cos theta = 2/3 Hello 1. Find the possible values of sin theta if: a. Cos theta = 2/3 b. cos theta = - 3/sq13 Can someone explain the steps to take to find the values of the above? I have looked online and was not able to get a clear understanding what is needed to get the values which will help me with my exam next month. Thank you very much.
 May 3rd, 2018, 05:02 AM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond By Pythagoras, $\sin^2\theta+\cos^2\theta=1$, so a) $\sin\theta=\pm\sqrt{1-\cos^2\theta}$. Use known values to complete the calculation. You can employ a similar method for b).
 May 3rd, 2018, 05:09 AM #3 Newbie   Joined: May 2018 From: UK Posts: 2 Thanks: 0 Thank you.

 Tags 2 or 3, cos, find, sin, theta, values

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