# Trigonometric Calculator

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Calculator wich uses trigonometric formula to simplify trigonometric expression.
simplify_trig(cos(x+pi)) returns -cos(x)

### Trigonometric Calculator

Calculator wich uses trigonometric formula to simplify trigonometric expression.

This calculator allows through various trigonometric formula to calculate trigonometric expression. Trignometric expressions are expressions that involve sine functions, cosine functions , tangent function ...

# Simplify a trigonometric expression

To simplify trigonometric expressions, the calculator uses various formulas of trigonometry, here are some examples of formulas trigonometric used by the calculator:

AA x in RR, k in ZZ,

• sin(-x)= -sin(x)
• sin(x+2*k*pi)=sin(x)
• sin(pi-x)=sin(x)
• sin(pi+x)=-sin(x)
• sin(pi/2-x)=cos(x)
• sin(pi/2+x)=cos(x)
• cos(-x)= cos(x)
• cos(x+2*k*pi)=cos(x)
• cos(pi-x)=-cos(x)
• cos(pi+x)=-cos(x)
• cos(pi/2-x)=sin(x)
• cos(pi/2+x)=-sin(x)
• tan(-x)= -tan(x)
• tan(x+k*pi)=tan(x)
• tan(pi-x)=-tan(x)
• tan(pi+x)=tan(x)
• tan(pi/2-x)=1/tan(x)
• tan(pi/2+x)=-1/tan(x)

This is only a small example of the many trigonometric formulas used by this trigonometric calculator.

When the calculator simplifies a trigonometric expression, it indicate the formulas used to arrive at the result, in the section reserved for the detail of the calculations.

To simplify a trigonometric expression, enter the expression to simplify and apply the simplify_trig function. Thus, for the simplification of the following expression cos(x+pi)+2*sin(x), enter simplify_trig(cos(x+pi)+2*sin(x)) , after calculation the simplified form of the trigonometric expression is returned.

This other example shows how to calculate the trigonometric expression cos(pi-x): simplify_trig(cos(pi-x)) .

The trigonometric calculator can simplify alphanumeric expressions but also purely numerical expressions.

#### Syntax :

simplify_trig(expression), where expression represents the trigonometric expression to be simplified.

#### Examples :

simplify_trig(cos(x+pi)) returns -cos(x)

List of related calculators :
• Arccosine : arccos. The arccos function allows the calculation of the arc cosine of a number. The arccos 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 arcsin function is the inverse function of the sine function.
• Arctangent : arctan. The arctan function allows the calculation of the arctan of a number. The arctan function is the inverse functions of the tangent function.
• Trigonometric Calculator : simplify_trig. Calculator wich uses trigonometric formula to simplify trigonometric expression.
• Cosine : cos. The cos trigonometric function calculates the cos 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 cotan 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.
• Simplify Calculator : simplify. Calculator wich can simplify an algebraic expression online.
• Secant : sec. The trigonometric function sec allows to calculate the secant of an angle expressed in radians, degrees, or grades.
• Sine : sin. The sin trigonometric function to calculate the sin of an angle in radians, degrees or gradians.
• Tangent : tan. The tan trigonometric function to calculate the tan of an angle in radians, degrees or gradians.
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