Abstract
This chapter discusses the trigonometric functions and the hyperbolic functions. The inverse sine function is the function that assigns to each number x in [−1, 1] the unique number y in [−π/2, π/2] such that x = sin y. Thus, one can write, y = sin-1x. However, the −1 appearing in equation does not mean l/(sin x), which is equal to (sin x)-1 =cos x. Another commonly used notation for the inverse sine function is y = arcsine x. The inverse cosine function is the function that assigns to each number x in [−1, 1], the unique number y in [0, π] such that x =cos y. Thus, one can write, y =cos-1x, and cos-1x is also written as arccos x. The inverse hyperbolic sine function, on the other hand, is defined by y = cos-1x if and only if x =sinhy. The domain of y = sin-1x is (−∞, ∞).
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