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In this video, I prove important inverse trigonometric and hyperbolic identities used in Complex Analysis and Mathematical Physics. We cover step-by-step derivations of: β€’ sin⁻¹(z) = βˆ’i ln( iz + √(1 βˆ’ z²) ) β€’ tanh⁻¹(z) = ½ ln( (1+z)/(1βˆ’z) ) β€’ coth⁻¹(z) and its logarithmic form These identities are very useful for ...
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