The calculator makes it possible to obtain the trigonometric expansion of an expression.

expand_trigo online

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.

The calculator makes it possible to obtain the trigonometric expansion of an expression.

- 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)`

See also

- Arccosine : arccos. The arccos function allows the calculation of the arc cosine of a number. The arccosine function is the inverse functions of the cosine function.
- Arcsine : arcsin. The arcsin function allows the calculation of the arc sine of a number. The arcsine function is the inverse function of the sine function.
- Arctangent : arctan. The arctan function allows the calculation of the arctangent of a number. The arctangent function is the inverse functions of the tangent function.
- Cosine : cos. The cos trigonometric function calculates the cosine of an angle in radians, degrees or gradians.
- Cosecant : cosec. The trigonometric function sec allows to calculate the secant of an angle expressed in radians, degrees, or grades.
- Cotangent : cotan. The cotan trigonometric function to calculate the cotangent of an angle in radians, degrees or gradians.
- Trigonometric expansion : expand_trigo. The calculator makes it possible to obtain the trigonometric expansion of an expression.
- Trigonometric linearization : linearization_trigo. Calculator that allows to linearize a trigonometric expression.
- Secant : sec. The trigonometric function sec allows to calculate the secant of an angle expressed in radians, degrees, or grades.
- Simplify Calculator : simplify. Calculator wich can simplify an algebraic expression online.
- Sine : sin. The sin trigonometric function to calculate the sine of an angle in radians, degrees or gradians.
- Tangent : tan. The tan trigonometric function to calculate the tangent of an angle in radians, degrees or gradians.
- Trigonometric Calculator : trig_calculator. Calculator wich uses trigonometric formula to simplify trigonometric expression.
- Calculation of binomial coefficients : binomial_coefficient. A binomial coefficient calculator that allows you to calculate a binomial coefficient from two integers.
- Scientific online calculator : calc. Online Scientific Calculator to calculate algebraic expressions and get a numerical result.
- Expand calculator : expand. Calculator is able to expand an algebraic expression online.
- Expand and simplify an algebraic expression online : expand_and_simplify. The online calculator function to expand and collapse an algebraic expression.
- Factoring calculator : factoring_calculator. The factoring calculator allows to factor an algebraic expression online with steps.