Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What represents the secant function?

1/sin(A)
1/tan(A)
1/cos(A)
tan(A)/sin(A)

The correct answer is: 1/cos(A)

The secant function is defined as the reciprocal of the cosine function. Therefore, when considering the options given, the correct representation of the secant function is indeed 1/cos(A). In trigonometric terms, if you have an angle A, the cosine of A relates to the adjacent side of a right triangle over the hypotenuse. The secant function, being the reciprocal, flips that relationship, giving you the hypotenuse over the adjacent side, or 1/cos(A). The other choices represent different trigonometric functions or relationships. For instance, 1/sin(A) represents the cosecant function, while 1/tan(A) gives the cotangent function. The remaining option, tan(A)/sin(A), is not a standard definition in trigonometry. Hence, recognizing that sec(A) = 1/cos(A) is crucial for grasping its importance in trigonometric identities and calculations.