Final answer:
To evaluate functions using a calculator, input the angle measure and use the appropriate trigonometric function to find the ratio. For cosine, which represents the adjacent side to the hypotenuse, the value of cos 8°50′25″ is approximately 0.9877. For secant, which is the reciprocal of cosine, the value of sec 56°8′10″ is approximately 1.2256.
Step-by-step explanation:
(a) To evaluate cos 8°50′25″, we will use a calculator in degree mode and input the value 8°50′25″. The cosine function returns the ratio of the length of the adjacent side of a right triangle to the hypotenuse. The calculator will give us the value of cos 8°50′25″ as approximately 0.9877 (rounded to four decimal places).
(b) To evaluate sec 56°8′10″, we will use a calculator in degree mode and input the value 56°8′10″. The secant function is the reciprocal of the cosine function, so we can find the value of sec 56°8′10″ by taking the reciprocal of cos 56°8′10″. The calculator will give us the value of sec 56°8′10″ as approximately 1.2256 (rounded to four decimal places).