Answer
$\cos(-8.0142^\circ)$ is the answer to this exercise.
Work Step by Step
$$\sin98.0142^\circ$$
As cosine and sine are cofunctions, $\cos\theta$ is the cofunction needed to find as long as $\theta$ satisfies
$$\cos\theta=\sin98.0142^\circ\hspace{1cm}(1)$$
According to Cofunction Identity: $\tan\theta=\cot(90^\circ-\theta)$
Apply this to the equation $(1)$:
$$\sin(90^\circ-\theta)=\sin98.0142^\circ$$
$$90^\circ-\theta=98.0142^\circ$$
$$\theta=90^\circ-98.0142^\circ=-8.0142^\circ$$
Hence, $\cos(-8.0142^\circ)$ is the answer to this exercise.
