Find a cofunction with the same value as the given expression. \( \csc 17^{\circ} \) Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer. Type any angle measures in degrees. Do not include the degree symt A. \( \csc 17^{\circ}=\sec \square^{\circ} \) B. \( \csc 17^{\circ}=\tan \) C. \( \operatorname{cts} 17^{\circ}=\cos \) OD. \( \csc 17^{\circ}=\cot \) OE. \( \csc 17^{\circ}=\sin \)

To find a cofunction with the same value as \( \csc 17^{\circ} \), we need to utilize the identity that cofunctions are equal to each other at complementary angles. The cosecant function, \( \csc \theta \), can be expressed in terms of the secant function as follows: \( \csc \theta = \sec(90^{\circ} - \theta) \). So for your expression, we can calculate: \( \csc 17^{\circ} = \sec(90^{\circ} - 17^{\circ) = \sec 73^{\circ} \). Now, to respond to the options, the correct choice that matches our findings is: **A. \( \csc 17^{\circ} = \sec 73^{\circ} \)**. However, the box is left empty on your prompt because we could put \( 73 \) here as our answer. An extra tidbit: many students find trigonometric identities confusing, but a good tip is to remember the complementary angle relationships. For instance, also recall that \( \sin(90 - \theta) = \cos(\theta) \) and \( \tan(90 - \theta) = \cot(\theta) \). For a quick common mistake - make sure not to confuse sine and cosecant; they are reciprocals! If you remember that, finding cofunctions becomes a piece of cake.