At what points does the tangent to the graph of the function y = sin x form an angle ox equal to 45 degrees with the axis.
| September 17, 2021 | education
For the solution, we use the geometric meaning of the derivative at the point.
Find the derivative of the function Y = cos (x):
Y ‘= sin (x)’ = cos (x).
Since the slope is 45 degrees, the slope of the tangent is 1:
k = tg (45º) = 1.
cos (x) = k;
cos (x) = 1;
x = 2 * Pi * n, where n is an integer.
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