cos(0)
The trigonometric function cosine (cos) is a mathematical function that describes the ratio of the adjacent side to the hypotenuse in a right triangle
The trigonometric function cosine (cos) is a mathematical function that describes the ratio of the adjacent side to the hypotenuse in a right triangle. It is defined for any angle in a unit circle. To answer your question, we will evaluate the value of cos(0).
When an angle of 0 degrees is considered, it lies on the positive x-axis in the unit circle. At this point, the adjacent side has a length equal to the hypotenuse because the angle is 0 degrees and the triangle formed is degenerate.
In a right triangle, the cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse. Therefore, in this case, cos(0) = adjacent/hypotenuse.
Since the adjacent side and the hypotenuse have the same length in this degenerate triangle (which is 1 in the unit circle), the value of cos(0) is 1/1, which simplifies to 1.
So, cos(0) = 1.
More Answers:
Mastering the Quotient Rule: Derivative of csc(x) SimplifiedHow to Find the Derivative of -sin(x) with respect to x Using the Chain Rule
Derivative of -cos(x) using the Chain Rule: Step-by-Step Explanation and Solution