Write down the meaning of each of the given equations. See Example 1.

y = 2 sin⁻¹ x

Data from Example 1

(a) y = cos⁻¹ x is read as “y is the angle whose cosine is x.” In this case, x = cos y.

(b) y = tan⁻¹ 2x is read as “y is the angle whose tangent is 2x.” In this case, 2x = tan y.

(c) y = csc⁻¹ (1 − x) is read as “y is the angle whose cosecant is 1 − x.” In this case, 1 − x = csc y, or x = 1 − csc y.