SOLUTION: If sin theta=5/12, determine sin2theta, where theta is in the first quadrant.

Question 1189410: If sin theta=5/12, determine sin2theta, where theta is in the first quadrant.
Answer by ikleyn(52835) (Show Source): You can put this solution on YOUR website!
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If sin theta=5/12, determine sin2theta, where theta is in the first quadrant.
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Use the basic formula of Trigonometry

     = .


From this formula, you see that you need to know .


It is easy to calculate    from  

     =  =  =  =  =  = .


In the first quadrant, cosine is positive; therefore, we keep the positive sign of the square root.


Now   =  =  =  = 0.757549...   ANSWER

Solved.

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P.S. My inner voice tells me that should be = in your post, instead of .

If it is so, do everything the same. In this case the answer is = = .

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