Friday, October 24, 2014

.o0×X×.ѕιne and coѕιne.×X×0o.

Welcome back to  Mathland!
Today we will be emphasizing on the aspects of sine and cosine. Do not be worried for we will be covering tangent in the next bog.~
Starting off there are six different trig identities and their corresponding sides:
Sine θ= opp/hyp
Cos θ= adj/hyp
Tan θ=opp/adj
Csc θ= hyp/opp
Sec θ= hyp/adj
Cot θ= adj/opp

In order to find any of these identities, drawing the triangle and labeling the corresponding sides will aid greatly.
Also, using the unit circle will greatly help in determining the answer when given the degrees. The unit circle is listed below for reference:
An important fact about the unit circle is that each quadrant also tells us what is positive and negative. 
Starting from Quadrant 1 and going counter clock-wise to Quadrant 4, the acronym "All Students Take Calculus" hint at the sign. All (Quadrant 1) indicates that all angles are positive. Students which stand for Sine indicate that in Quadrant 2, only Sine is positive. Similar in Quadrant Three - Take (Tan) - on tan is positive, etc.
That is all for the sine and cosine functions!~
I hope you enjoyed this small lesson.
See you next time.~

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