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Trigonometric Functions : Explain sine, cosine, tangent, cotangent functions and inverses.

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Please explain sine, cosine, tangent, cotangent functions and inverse trigonometeric functions like arcsin, arccos, arctan and arccot functions with graphics.

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Sine, cosine, tangent, cotangent functions and inverse trigonometeric functions like arcsin, arccos, arctan and arccot functions are explained with graphics. The solution is detailed and well presented.

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Trigonometric functions

The sine function

The function defined by :
sin : R -> R : x -> sin(x)
is called, the sine function.
The images are bounded in [-1,1] and the period is 2.pi .
We say that the range of the function is [-1,1].

The cosine function

The function defined by :
cos : R -> R : x -> cos(x)
is called, the cosine function.
The images are bounded in [-1,1] and the period is 2.pi .
The range of the function is [-1,1].

The tangent function

The function defined by :
tan : R -> R : x -> tan(x)
is called, the tangent function.
Now, the period is pi and the images are not defined in x = (pi/2) + k.pi
The range or image is R.

The cotangent ...

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