The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:

The tangent, cotangent, and cosecant functions are odd , so the graphs of these functions have symmetry with respect to the:

                                 Origin.

A function f(x) is said to be a odd function if:

Also, an odd function always has a symmetry with respect to the origin.

whereas a function f(x) is said to be a even function if:

Also, an even function has a symmetry with respect to the y-axis.

We know that:

Tangent function, cotangent function and cosecant function are odd functions.

Since,

( similarly sine function is also an odd function.

whereas cosine and secant function are even functions )

Hence, the graph of tangent function, cotangent function and cosecant function  is symmetric about the origin.

y = 2x

step-by-step explanation:

if you divide each number in the sequence, you'll see that they all have a multiple factor of 2. each number in the series, and any other numbers which may continue, will be multiplied by 2. therefore, y is the next number in the sequence, and x is the current one, so, our formula will be y = 2x.

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step-by-step explanation: