sin 90 degrees
Understand the Problem
The question is asking for the value of the sine function at 90 degrees. This is a basic trigonometric concept.
Answer
$1$
Answer for screen readers
The value of the sine function at 90 degrees is $1$.
Steps to Solve
-
Understand the sine function
The sine function, denoted as $\sin(\theta)$, describes the ratio of the length of the side opposite the angle $\theta$ to the length of the hypotenuse in a right triangle. -
Identify the angle in degrees
Here, we need to find $\sin(90^\circ)$. -
Use the unit circle concept
In the unit circle, the coordinates of a point are given by $(\cos(\theta), \sin(\theta))$. At $90^\circ$, the point on the unit circle is at $(0, 1)$. -
Extract the sine value
Thus, $\sin(90^\circ) = 1$ since the sine value corresponds to the y-coordinate of the point.
The value of the sine function at 90 degrees is $1$.
More Information
The sine of 90 degrees being 1 is a foundational concept in trigonometry, often used in various applications including physics, engineering, and various mathematical concepts.
Tips
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