# Trigonometric Calculator

Quizzes and games : algebraic calculation

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

Quizzes and games : algebraic calculation

### Simplify trig, online calculus

#### Summary :

Calculator wich uses trigonometric formula to simplify trigonometric expression.

simplify_trig online

#### Description :

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)

Calculate online with simplify_trig (Trigonometric Calculator)
• 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.

Trigonometric functions | Algebraic calculation