∫ 1/sinh(x) dx = ln(tanh(x/2)) + C
C is the constant of integration.
∫ cos(x)/sin2(x) dx = -cosec(x) + C C is the constant of integration.
It is 1.
Sine of an angle (in a right triangle) is the side opposite of the angle divided by the hypotenuse.
No, it does not.
For finding the angles in a right angled triangle the ratios are: sine = opposite divided by the hypotenuse cosine = adjacent divided by the hypotenuse tangent = opposite divided by the adjacent
∫ 1/sinh2(x) dx = -cotanh + C C is the constant of integration.
∫ sinh(x) dx = cosh(x) + C C is the constant of integration.
The basic ones are: sine, cosine, tangent, cosecant, secant, cotangent; Less common ones are: arcsine, arccosine, arctangent, arccosecant, arcsecant, arccotangent; hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cosecant, hyperbolic secant, hyperbolic cotangent; hyperbolic arcsine, hyperbolic arccosine, hyperbolic arctangent, hyperbolic arccosecant, hyperbolic arcsecant, hyperbolic arccotangent.
∫ 1/sin2(x) dx = -cot(x) + CC is the constant of integration.
∫ 1/sin(x) dx = ln(tan(x/2)) + C C is the constant of integration.
∫ sin(x)/cos2(x) dx = sec(x) + C C is the constant of integration.
∫ cos(x)/sin2(x) dx = -cosec(x) + C C is the constant of integration.
sinh(x) = ½[ex-e-x]
∫ sin(x) dx = -cos(x) + CC is the constant of integration.
Dorcas Flannery has written: 'Mapping of the hyperbolic sine from the Z plane to the W plane and comparison with the hyperbolic cosine'
-cosine x
It is 1.