Fundamental Identities

Question	Answer
Reciprocal Identities 1. cscx=1/sinx 2. secx=1/tanx 3.cotx=1/tanx Image: images__1_ (image/jpg)	Quotient 1. tanx=sinx/cosx 2. cotx=cosx/sinx Image: images__1_ (image/jpg)
Pythagorean 1. sin^x + cos^x =1 2. tan^x +1 = sec^x 3. 1 + cot^x = csc^x Image: images__1_ (image/jpg)	Double and half measure 1. Sin2x = 2sinx cosx 2. cos2x = cos^x - sin^x 3. tan2x = 2tanx/1-tanx Image: images__1_ (image/jpg)
Sum and Difference 1. Cos(A-B) = Cos A Cos B + Sin A Sin B 2. Cos(A+B) = Cos A Cos B - Sin A Sin B 3. Sin(A-B) = Sin A Cos B - CosASinB Image: images__1_ (image/jpg)	4. Sin(A+B) = Sin A Cos B + Cos A Sin B 5. Tan(A-B) = Tan A + Tan B / 1-Tan A Tan B 6. Tan(A+B) = Tan A + Tan B/1-Tan A Tan B Image: images__1_ (image/jpg)
Product to sum & sum to product 1. Sin A Cos B =1/2[sin(a+b)+sin(a-b)] 2. Cos A Sin B = 1/2[sin(a+b)-Sin(a-b)] Image: images__1_ (image/jpg)	3. Cos A Sin B = 1/2[Cos(a+b)+Cos(a+b)] 4. Sin A Sin B = 1/2[cos(a-b) - cos (a+b)] Image: images__1_ (image/jpg)

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	Created by MusicOfTheNight12 almost 12 years ago