textbook-theory · English
Difference Equations to Differential Equations — Section 6.5: Inverse Trigonometric Functions
Section 6.5 of Dan Sloughter's open calculus textbook 'Difference Equations to Differential Equations' covers the definitions, graphs, derivatives, and integrals of the inverse trigonometric functions — arctan, arcsin, and arcsec. The section addresses partial fraction decomposition with irreducible quadratic factors, completing the square, and trigonometric substitution techniques. A substantial problem set extends coverage to arccos, arccot, arccsc, Taylor series for arctan, and approximation of pi.
inverse trigonometric functionscalculusintegrationpartial fractions