Willis Hill
12/23/2023 · Senior High School
Barcunumes \( \sin x, \cos x, \operatorname{tg} x, \operatorname{ctg} x, \operatorname{ec} \mu \sin \alpha= \)
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It seems like you're asking about trigonometric functions and possibly their relationships or identities. Let's clarify the terms you've mentioned:
1. **Sine**: \( \sin x \) is the ratio of the length of the opposite side to the hypotenuse in a right triangle.
2. **Cosine**: \( \cos x \) is the ratio of the length of the adjacent side to the hypotenuse.
3. **Tangent**: \( \tan x \) (often written as \( \operatorname{tg} x \) in some regions) is the ratio of the sine to the cosine: \( \tan x = \frac{\sin x}{\cos x} \).
4. **Cotangent**: \( \cot x \) (often written as \( \operatorname{ctg} x \)) is the reciprocal of the tangent: \( \cot x = \frac{1}{\tan x} = \frac{\cos x}{\sin x} \).
5. **Secant**: \( \sec x \) (often written as \( \operatorname{ec} x \) in some regions) is the reciprocal of the cosine: \( \sec x = \frac{1}{\cos x} \).
If you have a specific equation or identity involving these functions, or if you need help with a particular problem, please provide more details!
Quick Answer
Sine is \( \sin x \), cosine is \( \cos x \), tangent is \( \tan x \), cotangent is \( \cot x \), and secant is \( \sec x \).
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