Trigonometric Functions of Compound Angles. Compound Angle Formulae. Compound Angle Formulae. (A) Sum and Difference Formulae. If we replace B by (-B) in formula of sin(A – B), we have. If we replace A by ( /2 - A ) in the formula of sin(A - B), we have.
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(A) Sum and Difference Formulae
The expression acos + bsin
may always be converted into the forms rsin( ±α) or rcos( ±β) where r is a positive constant.
α and β are called the subsidiary angles.
If we have two or more equations, each containing a certain variable, the process of finding an equation from which that variable isexcluded is called elimination.