## Use a reference angle to write sec255∘ in terms of the secant of a positive acute angle. Do not include the degree symbol in your answer. Fo

Question

Use a reference angle to write sec255∘ in terms of the secant of a positive acute angle. Do not include the degree symbol in your answer. For example, if the answer is sec(10∘), you would enter sec(10).

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Math
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2021-11-18T09:29:42+00:00
2021-11-18T09:29:42+00:00 1 Answer
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## Answers ( )

Answer: sec (75) or csc (15)

Step-by-step explanation:

255 is in the 3rd quadrant where the secant is. Here, the tangent and cotangent is positive.

Reference angle for 255 is,

255 – 180 = 75 degrees.

Therefore, sec (255) = sec (75)

= csc (90 – 75) = csc (15)