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Thursday, June 19, 2014

Trigonometry Tricks



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Sin = Perpendicular/Hypotenuse
Cos = Base/Hypotenuse
Tan = Perpendicular/Base

Make a sentence for it to memorize it easily, we make a sentence “some people have curly black hair through properly brushing”
Cesec, Sec and Cot are reverse of Sin, Cos and Tan...

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A useful trick to remember is that all the trigonometric functions are periodic, that is, they repeat their values after a specific angle. For example, sine and cosine functions repeat after every 360 degrees, and tangent function repeats after 180 degrees. This goes for their inverses as well.


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To learn the trigonometric table (yeah! I am talking about that sin, cos, tan and other side 30, 45, 60 and more degrees' table... ohhh...!!!), Watch this video (7:32 --- not so long)... It explains a very easy method to remember that... (Thank Goodness, Finally I found it..!!!)

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(source: wikipedia)


 If you look at this, there are a number of different identities you can observe.

Reading across the central 1 in any direction gives reciprocal identities:


Reading down any triangle gives the standard identities (starting at the top left and going clockwise):



Reading a function and dividing the two consecutive clockwise or counter clockwise neighbors gives these identities:
(Starting at tan and going clockwise)






(Starting at tan and going counter-clockwise)







Reading a function and multiplying the two nearest neighbors gives these identities (starting at tan and going clockwise):









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