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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).

Respuesta :

elijahjoseph1

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)

Using equivalent angles, it is found that the expression is -sec(75).

  • 255º is on the third quadrant, as [tex]180 \leq 255 \leq 270[/tex].

To find the equivalent angle on the first quadrant, we subtract the third quadrant angle from 180º, hence:

255º - 180º = 75º

The secant is one divided by the cosine, which is negative on the third quadrant and positive on the first.

  • Hence, the expression is -sec(75).

A similar problem is given at https://brainly.com/question/23843479

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