trigonometric expansion
Trigonometric expansion : How to use it?
The calculator makes it possible to obtain the trigonometric expansion of an expression.
Syntax :
expand_trigo(expression), where expression is a trigonometric expression
Examples :
- expand_trigo(`cos(a+b)`) returns `cos(a)*cos(b)+sin(a)*sin(b)`
- expand_trigo(`cos(a-b)`) returns `cos(a)*cos(b)-sin(a)*sin(b)`
- expand_trigo(`sin(a-b)`) returns `cos(a)*sin(b)-sin(a)*cos(b)`
- expand_trigo(`sin(a+b)`) returns `cos(a)*sin(b)+sin(a)*cos(b)`
The calculator makes it possible to calculate online the trigonometric expansion of an expression which involves sines or cosines, for this it uses the duplication formulas associated with these functions. The calculator makes it possible to make symbolic calculations, it is therefore possible to combine numbers and letters.
The calculator can make trigonometric expansions of expression of the form cos(a+b) by giving the results in exact form : thus to expand `cos(pi/6+pi/3)`, enter expand_trigo(`cos(pi/6+pi/3)`), after calculation, the result is returned.
The calculator can expand trigonometric formulas of the form cos(a-b) by giving the results in exact form : thus to expand `cos(pi/6-pi/3)`, enter expand_trigo(`cos(pi/6-pi/3)`), after calculation, the result is returned.
The calculator can also make trigonometric expansions of formula of the form `sin(a+b)` by giving the results in exact form : thus to expand `sin(pi/6+pi/3)`, enter expand_trigo(`sin(pi/6+pi/3)`), after calculation, the result is returned.
The calculator can expand make trigonometric expressions of the form `sin(a-b)` by giving the results in exact form : thus to expand `sin(pi/6-pi/3)`, enter expand_trigo(`sin(pi/6-pi/3)`), after calculation, the result is returned.
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