csc 30°
The term “csc” stands for cosecant, which is a trigonometric function
The term “csc” stands for cosecant, which is a trigonometric function. In order to find the value of csc 30°, we need to understand what it represents.
Cosecant (csc) is the reciprocal of the sine function. It is defined as the ratio of the hypotenuse to the opposite side in a right-angled triangle. In other words, csc θ is equal to 1/sin θ.
To find csc 30°, we need to determine the value of sin 30° first.
In a right-angled triangle where one of the angle measures is 30°, the opposite side is half the length of the hypotenuse. Let’s assume the hypotenuse has a length of 2 (it doesn’t matter what unit you use for this length). Therefore, the opposite side will have a length of 1.
Now we can find sin 30° by dividing the length of the opposite side by the length of the hypotenuse: sin 30° = 1/2.
Since csc θ = 1/sin θ, we can plug in the value we found: csc 30° = 1 / (1/2).
To divide by a fraction, we can multiply by the reciprocal of that fraction: csc 30° = 1 * (2/1) = 2.
Therefore, the value of csc 30° is 2.
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