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lola.bonane
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How do I understand them and what they do? I've memorized "soh-cah-toa", but I still don't get what is the point of it. Like what is the application of finding something divided by another thing?
lola.bonane said:Thanks. do you have any examples on how to find lengths and stuff? i mean if we already have the lengths, and we need to find the sin, then what is the point of sin and cos?
lola.bonane said:How do I understand them and what they do? I've memorized "soh-cah-toa", but I still don't get what is the point of it. Like what is the application of finding something divided by another thing?
lola.bonane said:i mean if we already have the lengths, and we need to find the sin, then what is the point of sin and cos?
SOH-CAH-TOA is a mnemonic device used to remember the basic trigonometric ratios in a right triangle. SOH stands for sine equals opposite over hypotenuse, CAH stands for cosine equals adjacent over hypotenuse, and TOA stands for tangent equals opposite over adjacent.
To use SOH-CAH-TOA, you must first identify the sides of the right triangle. The hypotenuse is always the longest side, the opposite side is the side opposite the angle you are working with, and the adjacent side is the side adjacent to the angle you are working with. Then, use the mnemonic device to remember which ratio to use and plug in the values to solve for the missing side or angle.
The basic trigonometric ratios are sine, cosine, and tangent. Sine is equal to the ratio of the opposite side over the hypotenuse, cosine is equal to the ratio of the adjacent side over the hypotenuse, and tangent is equal to the ratio of the opposite side over the adjacent side.
Understanding SOH-CAH-TOA is important because it is the foundation for solving more complex trigonometric problems. It allows us to find missing sides and angles in right triangles, as well as apply these concepts to real-life situations such as measuring distances and heights.
Yes, there are two other trigonometric ratios: cosecant and cotangent. Cosecant is equal to the ratio of the hypotenuse over the opposite side, and cotangent is equal to the ratio of the adjacent side over the opposite side. These are the reciprocal ratios of sine and tangent, respectively.