Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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How is cosecant defined in trigonometry?

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

The correct answer is: 1/sin(A)

Cosecant is defined as the reciprocal of the sine function in trigonometry. Specifically, for an angle A, cosecant (often denoted as csc(A)) is calculated as 1 divided by the sine of that angle. This relationship can be expressed as csc(A) = 1/sin(A). Understanding this reciprocal nature is fundamental in trigonometry because it sets the stage for solving problems involving different trigonometric ratios and relationships within right triangles and the unit circle. By grasping this definition, one can effectively utilize cosecant in various mathematical contexts.