In Exercises 35–60, find the reference angle for each angle.

553...

Question

In Exercises 35–60, find the reference angle for each angle.

553°

Accepted Answer

Hello, regarding how we doing today today, we're going to be looking at this question that states calculate the measurement of the reference angle for 541 degrees where the answer choices given are a 89 degrees B one degree C degrees and D 44 degrees. Now, the first thing we wanna do here is turn our angle 541 into its standard form. Now, we know it's not in its standard form because it's greater than 360 degrees and a plot with the four quadrants only goes up to 360 degrees. So standard form to get it in its standard form, we get our angle 541 degrees and subtract 360 degrees from it. And that will be equal to 181 degrees. So that will be the angle that we will be working with. Now, 181 degrees falls in quadrants three because 181 degrees is greater than degrees and less than 270 degrees. So that is quadrant three. Now, let's write a reference angle room. There's different rules for the specific quadrants that we are working with. I'm going to focus on quadrant three since that's the one for this specific question. Now, the rule for reference angles in part with working from quad and three is that the reference angle is equal to the angle that we have minus 180 or if we were working in degrees, it would be the angle Mine is pi now we are working in the degrees. So let's just plug what we have into our equation. Our angle right now is 181 degrees minus degrees. Means that our reference angle will be one degree which matches with answer choice B So for this question, all we had to do was use the standard form of our angle and use a quick rule for reference angles that falls with it that work out of quarter three and we reach our final answer. So I hope that was helpful. And until next time.

In Exercises 35–60, find the reference angle for each angle. 553°

Key Concepts

Reference Angle

Angle Reduction

Quadrants

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