sin θ
The value sin θ represents the sine of the angle θ in a right triangle
The value sin θ represents the sine of the angle θ in a right triangle. The sine function is a trigonometric function that relates the ratio of the length of the side opposite the angle to the length of the hypotenuse of the right triangle.
To find the value of sin θ, you need to know the lengths of the two sides of the right triangle. Let’s consider a right triangle with angle θ.
In the triangle, the side opposite to θ is called the “opposite side,” while the longest side (the side opposite the right angle) is called the “hypotenuse.” The other side (which is neither the opposite nor the hypotenuse) is called the “adjacent side.”
The sine of θ is calculated by dividing the length of the opposite side by the length of the hypotenuse.
So, the formula for sin θ is:
sin θ = opposite side / hypotenuse
For example, if the length of the opposite side is 5 and the length of the hypotenuse is 10, then the value of sin θ would be:
sin θ = 5 / 10 = 0.5
Therefore, the value of sin θ is 0.5.
Note that the sine function is periodic, repeating after every 360 degrees or 2π radians. Therefore, there are infinite values for sin θ, depending on the angle θ.
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