How to Find the Sine of an Angle | A Step-by-Step Guide with Calculator and Unit Circle Methods

sin(40)

To find the sine of an angle, we can use a scientific calculator or refer to a trigonometric table

To find the sine of an angle, we can use a scientific calculator or refer to a trigonometric table. For the given angle of 40 degrees, we can find the sine value as follows:

Using a scientific calculator, enter 40 and find the sine function (usually indicated as “sin” or “sin^-1”). The answer you will get is approximately 0.642.

Alternatively, if you don’t have access to a scientific calculator, you can use the unit circle. The unit circle is a circle with a radius of 1, centered at the origin of a Cartesian coordinate system. To find the sine of an angle using the unit circle, follow these steps:

1. Draw a unit circle.
2. Locate the angle 40 degrees on the circle (starting from the positive x-axis in the counterclockwise direction).
3. Draw a line from the origin to the point on the unit circle that corresponds to 40 degrees.
4. The y-coordinate of the point where the line intersects the circle is equal to the sine of the angle. In this case, the y-coordinate is approximately 0.642.

Therefore, sin(40) is approximately 0.642.

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