How to graph y = tan ( 2 x ) ?

Question

How to graph         y     =            tan                (         2         x         )                ?

Cheyenne Lynn · Accepted Answer

If the potential number is N, it can be written as
N = 9k + 6
and N = 21l + 12

∴ 9 k + 6 = 21 l + 12 \Rightarrow 9 k - 21 l = 6

or 3(3k - 7l) = 6
or 3k = 7l + 2 or

k = \frac{7 l + 2}{3}

Therefore, set l to its lowest possible value such that k's value is an integer, or the numerator, in other words. (i. e., 7l+ 2) will be divisible by 3.
Thus at I =1, we get k = 3 (an integer). So the least possible number

N = 9 \times 3 + 6 = 21 \times 1 + 12 = 33

.
The higher numbers can now be achieved by multiplying the LCM of 9 and 21 by 33. i.e., The general form of the number is 63m + 33. So the other number in the given range including 33 are 96, 159, 222, 285, 348, ..., 1104. Hence there are total 18 numbers which satisfy the given condition.

How to graph y= tan (2x)?

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