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Q: What can the function cotangent theta also be expressed as?
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What is the definition of a tangent function?

Tangent (theta) is defined as sine (theta) divided by cosine (theta). In a right triangle, it is also defined as opposite (Y) divided by adjacent (X).


Concepts of inverse trignometric?

I think you mean the concept of inverse trig functions.Let's just look at one, the inverse cosine function.cos-1 (x) also called arccos(x) is the inverse of cos(x).cos-1 (x) x=cos (theta)So to evaluate an inverse trig function we are ask what angle, theta, did we plug into the trig function (regular, not inverse function) to get x.So here is one more example.tan-1 (x) means x=cos (theta)


Sec squared theta plus tan squared theta equals to 13 12 and sec raised to 4 theta minus tan raised to 4 theta equals to how much?

It also equals 13 12.


What is the relationship between those trigonometry function e.g sine and cos and also tan curve?

Given that theta is the angle with respect to the positive X axis of a line of length 1, then sin(theta) = Y and cos(theta) is X, with (X,Y) being the point at the end of the line. As theta sweeps from 0 to 360 degrees, or 0 to 2 pi radians, that point draws a circle of radius 1, with center at (0,0).Since X, Y, and 1 form the sides of a right triangle, where 1 is the hypotenuse, then the pythagorean theorem states that X2 + Y2 = 12. This means that sin2(theta) + cos2(theta) = 1.Tan(theta) is defined as sin(theta) divided by cos(theta), or Y / X. Since division by zero is a limiting invalidity, then tan(theta) is asymptotic to Y=0, having value of +infinity at theta = 90 or pi / 4, and -infinity at 270 or 3 pi / 4.


Is Sin theta can also be mentioned as?

In a Right Triangle SINE Theta is equal to the: (Length of opposite side) / (Length of Hypotenuse).