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What are the types of trigonometric functions?
There are three types of trigonometric functions, they are: 1- Plane Trigonometric Functions 2- Inverse Trigonometric Functions and 3- Hyperbolic Trigonometric Functions
How can you tell if functions are inverse functions?
If two functions are the inverse of each other, they reverse or undo what the other function does. To give the simplest example, addition and subtraction are inverse functions, so that if you start with 7 and add 3 you get 10, and then if you subtract 3 you are back to 7, which is what you started with, so the subtraction reverses the effect of the addtion (if you subtract the same amount, which in this example was 3).
What functions are positive in the third quadrant?
If you are talking about functions in 2-dimensional space, that is, functions of the sort y = f(x), then, by definition, none can be positive in the third quadrant where y is always negative. If you are talking about functions in 3-dimensional space, ie functions of the kind z = f(x,y), then for the third quadrant in terms of x and y (x<0 and y<0), there are infinitely many functions for which z > 0.
What are the seven types of function?
There are infinitely many types of functions. For example: Discrete function, Continuous functions, Differentiable functions, Monotonic functions, Odd functions, Even functions, Invertible functions. Another way of classifying them gives: Logarithmic functions, Inverse functions, Algebraic functions, Trigonometric functions, Exponential functions, Hyperbolic functions.
Are shifts sin cos tan equal to csc sec cot respectively?
No, they are the inverse functions, while csc, sec and cot are the reciprocal functions. To illustrate the difference, the inverse of f(x) = x+3 is f-1(x) = x-3 But the reciprocal of f(x) is 1/f(x) = 1/(x+3)
