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The values of the trigonometric functions of these angles , ′ for specific angles satisfy simple identities: either they are equal, or have opposite signs, or employ the complementary trigonometric function. These are also known as reduction formulae. [2]
In this way, this trigonometric identity involving the tangent and the secant follows from the Pythagorean theorem. The angle opposite the leg of length 1 (this angle can be labeled φ = π/2 − θ) has cotangent equal to the length of the other leg, and cosecant equal to the length of the hypotenuse. In that way, this trigonometric identity ...
Basis of trigonometry: if two right triangles have equal acute angles, they are similar, so their corresponding side lengths are proportional.. In mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) [1] are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
It was originally defined as the rate of heat transfer that results in the freezing or melting of 1 short ton (2,000 lb; 907 kg) of pure ice at 0 °C (32 °F) in 24 hours. [1] [2] The modern definition is exactly 12,000 Btu IT /h (3.516853 kW). Air-conditioning and refrigeration equipment capacity in the U.S. is often specified in "tons" (of ...
The tonne (/ t ʌ n / ⓘ or / t ɒ n /; symbol: t) is a unit of mass equal to 1,000 kilograms.It is a non-SI unit accepted for use with SI.It is also referred to as a metric ton in the United States to distinguish it from the non-metric units of the short ton (United States customary units) and the long ton (British imperial units).
1/4 c. extra-virgin olive oil. 1 tbsp. thinly sliced chives. 1 tbsp. white balsamic vinegar. 2 tsp. finely chopped fresh basil. 1 1/4 tsp. crushed red pepper flakes. 1/4 tsp. kosher salt. 8 oz.
Santa Claus, Indiana, is home to a beloved tradition in which volunteers, or "elves," respond to thousands of Christmas letters sent to Santa each year from children from all over.
A less common usage is the power required to cool 1 long ton (2,240 lb or 1,016 kg = 1 long ton or 1.120 short tons or 1.016 t) of water by 1 °F (0.56 °C) every 10 minutes = 13,440 BTU/h (3,939 W). [31] [32] The refrigeration ton is commonly abbreviated as RT.