Question

Which inverse trigonometric functions have the same domain?

a. y = cos^(-1)(x) and y = tan^(-1)(x)
b. y = sin^(-1)(x) and y = cos^(-1)(x)
c. y = sin^(-1)(x) and y = tan^(-1)(x)
d. None of the inverse trigonometric functions have identical domains

Answer 1

The inverse trigonometric functions do not have identical domains.

Step-by-step explanation:

The correct answer is d. None of the inverse trigonometric functions have identical domains. Each inverse trigonometric function has its own unique domain. The domain of the cosine inverse function (arccosine) is [-1, 1], while the domain of the tangent inverse function (arctangent) is (-∞, ∞). The domain of the sine inverse function (arcsine) is also (-∞, ∞), but it is important to note that the domains of the inverse trigonometric functions can vary depending on the specific context or interpretation of the trigonometric functions being used.