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Image mnemonic to help remember the ratios of sides of a right triangle. The sine, cosine, and tangent ratios in a right triangle can be remembered by representing them as strings of letters, for instance SOH-CAH-TOA in English:
For instance, a mnemonic is SOH-CAH-TOA: [34] Sine = Opposite ÷ Hypotenuse Cosine = Adjacent ÷ Hypotenuse Tangent = Opposite ÷ Adjacent. One way to remember the letters is to sound them out phonetically (i.e. / ˌ s oʊ k ə ˈ t oʊ ə / SOH-kə-TOH-ə, similar to Krakatoa). [35]
The mnemonic "SOHCAHTOA" (occasionally spelt "SOH CAH TOA") is often used to remember the basic trigonometric functions: [36] Sine = Opposite / Hypotenuse; Cosine = Adjacent / Hypotenuse; Tangent = Opposite / Adjacent; Other mnemonics that have been used for this include: Some Old Hippie Caught Another Hippie Tripping On Acid.
COS (54D: The "C" in "SOH-CAH-TOA") SOH-CAH-TOA is a mnemonic used in trigonometry to remember how to calculate the sine, cosine (COS), and tangent of an angle of a right triangle.
In mathematics, sine and cosine are trigonometric functions of an angle.The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that ...
Generally, I've just seen it referred to as the "input", and that works regardless of the geometric interpretation of the numerical values (meaning it works for complex values as well). However, if you interpret it using the usual soh-cah-toa, you could call it the "side ratio" since it's the ratio of the opposite and adjacent sides.
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In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle.Just as the points (cos t, sin t) form a circle with a unit radius, the points (cosh t, sinh t) form the right half of the unit hyperbola.