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Math Formula Sheet Sumangles

Math Formula Sheet Sumangles  You can see Trigonometric ratios Sin Sum, Sin Difference, Cos Sum , Cos Difference and  product to sum and difference formula. This will help the students of College Grade  as well as  10th, 11th, 12th Grade too.

I. Sum and Difference of Trigonometric Ratios Sin and Cos as follows .

 1) Sin (A) + Sin (B) = 2 Sin(\(\frac{A+B}{2})Cos(\frac{A-B}{2})\)

    Remember as " Sin Sum = 2 Sin Cos "

  2) Sin (A) - Sin (B) = 2 Cos(\(\frac{A+B}{2})Sin(\frac{A-B}{2})\)

  Remember as " Sin Difference = 2 Cos Sin "

  3) Cos(A)+Cos(B) = 2 Cos(\(\frac{A+B}{2})Cos(\frac{A-B}{2})\)

  Remember as  " Cos Sum = 2 Cos Cos "

 4) Cos(A)- Cos(B) = -2 Sin(\(\frac{A+B}{2})Sin(\frac{A-B}{2})\)

  Remember as " Cos Difference = - 2 Sin Sin "

II Product to sum and differences

 1) 2 Sin(A) Cos(B) = Sin(A+B) + Sin(A-B)

 2) 2 Cos(A) Sin(B)= Sin(A+B) - Sin(A-B)

 3) 2 Cos(A) Cos(B)= Cos(A+B) + Cos(A-B)

 4) 2 Sin(A) Sin(B) = Cos(A-b) - Cos(A+B)

III.

 1) Sin(A+B)Sin(A-B) = \(Sin^{2}(A) - Sin^{2}(B)\)

                                =\(Cos^{2}(B) - Cos^{2}(A)\)


 2) Cos(A+B)Cos(A-B) = \(Cos^{2}(A)-Sin^{2}(B)\)


IV. Maximum and Minimum of the equation

  aCos(x)\(\pm bSin(x) \pm c\) are

 Maximum Value = \(\sqrt{a^{2}+b^{2}}\pm c\)

 Minimum Value = - \(\sqrt{a^{2}+b^{2}}\pm c\)


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