Does θ mean angle in these questions?

[bushra1175]

Hi everyone. This question is asking me to find which quadrant θ would be in, however, the numbers shown here such as pi/3 in 2(a) look too small to be an angle. If it is an angle, then it would in quadrant one as 1.047 is less than 90 degrees.

These questions are part of the assessment questions in the textbook I'm using so there aren't any published solutions. I would appreciate your help with this.

 

[Deleted member 4993]

Hi everyone. This question is asking me to find which quadrant θ would be in, however, the numbers shown here such as pi/3 in 2(a) look too small to be an angle. If it is an angle, then it would in quadrant one as 1.047 is less than 90 degrees.

These questions are part of the assessment questions in the textbook I'm using so there aren't any published solutions. I would appreciate your help with this.

View attachment 21170

The angles reported here are in radian. Conversion:

\(\displaystyle \frac{\pi}{3} \ \)radian = \(\displaystyle \frac{180}{3} \ \ degrees\) = 60^o

But for most of the problems in your problem set, you do not need to convert those to degrees.

You should just remember (for easier visualization)

\(\displaystyle \frac{\pi}{2} \ = \ \) 90^o (degrees),​

and go from there...

 

[bushra1175]

The angles reported here are in radian. Conversion:

\(\displaystyle \frac{\pi}{3} \ \)radian = \(\displaystyle \frac{180}{3} \ \ degrees\) = 60^o

But for most of the problems in your problem set, you do not need to convert those to degrees.

You should just remember (for easier visualization)

\(\displaystyle \frac{\pi}{2} \ = \ \) 90^o (degrees),​

and go from there...

I see. so whenever I see π I pretend it says 180 and go from there? So I assume question 2(d) is the only one I need to convert to degrees?

 

[Deleted member 4993]

I see. so whenever I see π I pretend it says 180 and go from there? So I assume question 2(d) is the only one I need to convert to degrees?

Yes ... for this problem set.

 

[Steven G]

yes if \(\theta=\dfrac{\pi}{3}\) then θ = 1.047. I'm really sorry but this is the only way I see the question but I know its wrong

No, it is NOT wrong! pi/3 does approximately equal 1.047 but not 1.047 degrees! It is 1.047 radians. Now if want to compare this to 90 degrees, either you convert 1.047 to degree or convert 90 degrees to radians.

I would use radians. 90 degrees = pi/2 radians. Which is bigger, pi/2 or pi/3?