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Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. It uses functions such as sine, cosine, and tangent to describe the ratios of the sides of a right triangle based on its angles. The three basic trigonometric functions are: Sine (sin), Cosine (cos), and Tangent (tan).
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\tan(x) = \frac{\sin(x)}{\cos(x)} \tan(x) = \frac{1}{\cot(x)} \cot(x) = \frac{1}{\tan(x)} \cot(x) = \frac{\cos(x)}{\sin(x)} \sec(x) = \frac{1}{\cos(x)} \csc(x) = \frac{1}{\sin(x)}
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Sin 3x is the sine of three times of an angle in a right-angled triangle, which is expressed as: Sin 3x = 3sin x – 4sin3x. All trigonometric formulas are divided into two major systems: Trigonometric Identities are formulas that involve Trigonometric functions. These identities are true for all values of the variables.