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Problems 7.6 through 7.7 , convert the pute the angles; smaller than azimuths from north t0 1808 bearings. between successive azimuths. and com- 7.6 65*26'37&q...

Question

Problems 7.6 through 7.7 , convert the pute the angles; smaller than azimuths from north t0 1808 bearings. between successive azimuths. and com- 7.6 65*26'37";; 127825'46", 254*23'07", and 295*14'08" 7.7 87*08'04". 165944'58", 203916'38". and 313259'02'

Problems 7.6 through 7.7 , convert the pute the angles; smaller than azimuths from north t0 1808 bearings. between successive azimuths. and com- 7.6 65*26'37";; 127825'46", 254*23'07", and 295*14'08" 7.7 87*08'04". 165944'58", 203916'38". and 313259'02'



Answers

Find the smaller of the angles between the two planes from Problems 65 and 66.

In this question we have been asked to find co terminal angles in order to find a co terminal angle for one. That is in radiant measure we would add or subtract two pi. The co terminal angles we are looking for must fall between two pi. Yeah and six pi. Our given Angle has a denominator of three. So let's write to pie With the denominator of three. That would be six pi over three. Multiply by 3/3. Mhm. And 18 Pi over three. All right, let's take our given angle. Yeah. And add to pie two Pi is equivalent to six pi over three. So that we have a common denominator. We would get seven Pi over three. That's within the parameters. Let's add two pi again with a common denominator And we get 13 pi over three. Yeah. That's still within the parameters. So let's one more time. Yeah. And to buy. Yeah. And that gives us 18 pi over three. Mhm. There are three co terminal angles within the parameters we've been given. Yeah, 18 pi over three is actually six pi

In this question we've been asked to find angles that are co terminal with the given angle and we want the co terminal angles to be between two pi including and six pi. Well, to find a co terminal angle, we take the given angle and add or subtract two pi. Since our given Angle has a denominator of four, we will add and subtract eight Pi over four. That's the same as two pi. But gives us a common denominator. That means we're looking for all co terminal angles that are between eight pi over four. Yeah and 24 pi over four. I just gave these values a common denominator with are given angle. Let's start finding co terminal angles. Give an angle. I'm going to add two pi with a common denominator And I get 13 pi over four. That works. It is within our given parameters. Let's add to pie again. Yeah. Two pi with a common denominator is eight pi over four. 21 Pi over four. That is another co terminal angle Between two pi and six pi. If we were to add two pi 1 more time, we would be outside of the given parameters. Yeah. So we will exclude that co terminal angle and just keep the first two that we.

In the giving question, we have been asked to find a co terminal angle with certain parameters. To find a code terminal angle You add or subtract 360 from the given angle. We've been asked to find a negative co terminal angle. So we are going to start with our given angle and subtract 360 degrees. In doing so, we get a co terminal angle of negative 80 degrees, which falls within the they're given parameters. I could find another co terminal angle by subtracting 360° again but this co terminal angle falls outside of the given parameters. The co terminal angle we were looking for mm Is negative 80°.

Yeah. In this question we have been asked to find a co terminal angle. Mhm. Mhm. To find a co terminal angle, you take the given angle and add or subtract 360°. Yeah. We've been given parameters and we want our co terminal angle to be negative. So let's take our given angle And subtract 360°. That will give us a co terminal angle of negative 315°. Which does fall within the Parameters. If we were to subtract 360° again we would get an angle that falls outside of the given parameters. So we would exclude that. Won the co terminal angle we were looking for is negative 315°. Yeah.


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