The most commonly used trigonometric functions are sine, cosine, and tangent.Ī: The formula for sine is: sin(theta) = opposite/hypotenuseĪ: The formula for cosine is: cos(theta) = adjacent/hypotenuseĪ: The formula for tangent is: tan(theta) = opposite/adjacentĪ: The reciprocal of sine is cosecant. Trigonometry FormulaįAQs related to trigonometric functions with formulasĪ: Trigonometric functions are mathematical functions that relate the angles of a right triangle to the ratios of the lengths of its sides. Here, the inverse of cosecant, secant, cotangent, tangent, cosine and sine, are known as arc cosecant, arc secant, arc cotangent, arc tangent, arc cosine, and arc sine respectively. There are few inverse trigonometric functions. Sec a = 1/ (cos a) = Hypotenuse/Adjacent = CA/AB ![]() Further, tan can be written in terms of sine and cos as Tan a = sina/cosa.Īdditional functions are represented through formulas they are:Ĭot a = 1/ (tan a) = Adjacent/Opposite = BA/CBĬosec a = 1/ (sin a) = Hypotenuse/Opposite = CA/CB ![]() Hence, the tan function will be derived as Tan a = Opposite/Adjacent = CB/BA. The student should note that the tan function can be exhibited in terms of sine and cos as their ratio. The tan function formula is defined as the ratio of the length of the opposite side of the right-angled triangle to that of the adjacent side. The cos function can be derived from the above reference diagram as ![]() The cos function formula can be explained as the ratio of the length of the adjacent side to the length of hypotenuse.
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