Question

Постройте график функции y=I ctgx I tgx

Answer 1

1)ctgx<0 2 и 4 чет
y=-ctgx*tgx=-1
2)ctgx>0 1 и 3 чет
y=ctgx*tgx=1

Answer 2

Graph of the Function y = ctgx * tgx

To graph the function y = ctgx * tgx, we can first understand the behavior of the cotangent and tangent functions.

The cotangent function (ctgx) is the reciprocal of the tangent function (tgx). It is defined as the ratio of the adjacent side to the opposite side in a right-angled triangle. The tangent function (tgx) is the ratio of the opposite side to the adjacent side in a right-angled triangle.

Let's plot the graph of the function y = ctgx * tgx to visualize its behavior.

Graph Visualization

The graph of the function y = ctgx * tgx can be visualized as follows:

- The function y = ctgx * tgx will have vertical asymptotes at the points where tgx = 0, as the cotangent function is the reciprocal of the tangent function. - The function will also have zeros at the points where ctgx = 0.

The graph will exhibit oscillatory behavior due to the periodic nature of the tangent and cotangent functions.

Conclusion

In conclusion, the graph of the function y = ctgx * tgx will exhibit oscillatory behavior with vertical asymptotes at the points where tgx = 0