Trig cheat sheet identities1/9/2024 Additionally, there hyperbolic half-angle formulas, inverse hyperbolic trig identities, and many more that aid in solving complex problems involving hyperbolic functions. This formula allows us to express the tangent of the sum of two angles in terms of their individual tangents.įurthermore, we have the hyperbolic double-angle formulas, such as cosh(2x) = cosh^2(x) + sinh^2(x) and sinh(2x) = 2 * sinh(x) * cosh(x), which bear similarity to the circular trigonometric double-angle identities. Another useful identity is the hyperbolic addition formula for the hyperbolic tangent: tanh(x + y) = (tanh(x) + tanh(y)) / (1 + tanh(x)*tanh(y)). This identity bears resemblance to the Pythagorean identity in circular trigonometry, but here we deal with hyperbolic functions. One of the fundamental hyperbolic trig identities is the hyperbolic Pythagorean identity: cosh^2(x) - sinh^2(x) = 1.
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