Understanding Trig Function Questions in the Range of Pi to 2Pi

[DethRose]

Im having some problems with some trig function question...im not really understanding what they are asking with these type of questions?

help please

determine the larger angle a in the range pie<a<2pie

sec A = 1.2048

answer a= (in radians)

the answer is 5.6915 rads

 

[courtrigrad]

ok so the question is that we want to determine the larger angle \alpha in the range \pi &lt; \alpha &lt; 2\pi

Now \sec x = \frac{1}{\cos x} See if you can go from here.

 

[faust9]

First, start off by writing secant as a cosine function:

\frac{1}{\cos A}=1.2048

Now, solve the function for A. Remember, \arccos A is only defined from 0 to \pi so you have to find a corresponding angle between \pi and 2\pi

good luck.

 

[DethRose]

yea but how do i put it in radians?

 

[Doc Al]

This question would make more sense if asked about the range from 0 to 2\pi, since there would be two angles with sec = 1.2048. But there's only one in the range of \pi to 2\pi, so the question doesn't make that much sense.