Trigonometry Calculator


The trigonometric functions have been defined using the unit circle. The degree of an angle measured counter-clock-wise from the x-axis along an arc of the circle.
The sin(θ) is the vertical component , the cos(θ) is the horizontal coordinate of the arc endpoint and the ratio of sin(θ) / cos(θ) is defined as tan(θ). Since the trigonometric functions are periodic with period 360 degree or say 2 π therefore :
func(θ) = func( 2 π r n + θ) where func is a trigonometric function and n is an integer.
Sin(q) = Opposite / Hypotenuse
Cos(q) = Adjacent / Hypotenuse
Tan(q) = Opposite / Adjacent
Triangular-pyramid
Please enter value:
Radians
Sine(Sin)
Cosine(Cos)
Tangent(Tan)
Cotangent(Cot)
Secant(Sec)
Cosecant(Cosec)


Arc Sine(ASin)
Arc Cosine(ACos)
Arc Tangent(ATan)
Arc Cotangent(ACot)
Arc Secant(ASec)
Arc Cosecant(ACosec)


Degrees
Sine(Sin)
Cosine(Cos)
Tangent(Tan)
Cotangent(Cot)
Secant(Sec)
Cosecant(Cosec)


Arc Sine(ASin)
Arc Cosine(ACos)
Arc Tangent(ATan)
Arc Cotangent(ACot)
Arc Secant(ASec)
Arc Cosecant(ACosec)


The table for basic trigonometric numbers of the most common angles as follows:
Angle sin cos tan cot sec cosec
0o 0 1 0 Not define 1 Not define
30o 1/2 √3/2 1/√3 √3 2/√3 2
45o 1/√2 1/√2 1 1 √2 √2
60o √3/2 1/2 √3 1/√3 2 2/√3
90o 1 0 Not define 0 Not define 1