Math question help third quadrant.

label Mathematics
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Find cos(2x) if sin(x) = –5/13 and x is in the third quadrant.

Aug 4th, 2015

Thank you for the opportunity to help you with your question!

Use the double angle formula:

cos(2x) = 1 - 2sin^2(x)

= 1- 2(-5/13)^2

= 1 - 2(25/169)

= 1 - 50/169

= 119/169

Please let me know if you need any clarification. I'm always happy to answer your questions.
Aug 4th, 2015

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