Resources on trigonometric functions (calculators, quizzes, games, exercises, reminders, formulas) allow you to make many calculations with the usual trigonometric functions, more general resources on numerical functions are also available.

Trigonometric functions : calculators

• 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.
• Trigonometric Calculator : simplify_trig. Calculator wich uses trigonometric formula to simplify trigonometric expression.
• 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 functions : Reminder

Trigonometric formulas

Here are the main trigonometric formulas that can be used to simplify trigonometric calculations.

• AA x in RR, k in ZZ,
• 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)
• 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)
• AA x in RR, k in ZZ,
• 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)
• cos(a-b)=cos(a)*cos(b)+sin(a)*sin(b)
• cos(a+b)=cos(a)*cos(b)-sin(a)*sin(b)
• sin(a-b)=sin(a)*cos(b)-cos(a)*sin(b)
• sin(a+b)=sin(a)*cos(b)+cos(a)*sin(b)
• cos(2a)=(cos(a))^2-(sin(a))^2
• sin(2a)=2*sin(a)*cos(a)
• (cos(a))^2=(1+cos(2a))/2
• (sin(a))^2=(1-cos(2a))/2
• (cos(a))^2+(sin(a))^2=1