Trigonometry Question (Trigonometric Functions)

AI Thread Summary
The discussion centers on identifying the mathematical operation needed to solve a trigonometry problem involving the sine and cosine functions. The user seeks clarification on the type of operation required to find cos(t - 11pi/6) given that sin(t) = -12/13. It is determined that this involves using the Pythagorean identity sin²(t) + cos²(t) = 1 to find cos(t), followed by applying the cosine of a difference identity. The user acknowledges that this is a sum and difference equation. The focus remains on understanding the operations rather than solving the problem itself.
MarcZZ
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Homework Statement



Hello again, not looking for anyone to solve this problem this time I just need to know what the operation I'm supposed to do is called, so I can go research it and learn it.

If sin(t) = -12/13 with 3pi/2 < t < 2pi, find the following:

b) cos(t - 11pi/6)

Homework Equations



I'm assuming this is a trigonometric function that is about graphing these things. But I'm not sure. >_<

The Attempt at a Solution



As I said, I'm not looking for the solution. Just what kind of operation this is.
 
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Use sin2x + cos2x = 1 to find cos(t). Then, use the cosine of a difference identity to evaluate cos(t - 11pi/6).
 
Oh, it's a sum and difference equation. My bad. I will go work on this now...
 

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