Use complete sentences to explain the value of sec⁡(270°) by referencing its relationship to cosine. include specific values from the unit circle to prove the relationship between the trigonometric functions.

The terminal ray of the standard-position angle 270° intersects the unit circle at (0, -1) = (cos(270°), sin(270°)). That is, cos(270°) = 0.

The secant is the reciprocal of the cosine, so the value of sec(270°) is

sec(270°) = 1/cos(270°) = 1/0, which is undefined.

The relationships between trigonometric functions are determined by their definitions. Reference to the unit circle proves nothing about their relationships.

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