How do I find out values of stuff like "sec(pi/3)" without a calculator?
Calculus 2 professor doesn't let us use a calculator for tests.
I know the basic values of cos/sin of 0, pi, pi/2,3pi/2 and 2pi. by imagining it in the unit circle as coordinates of 1's and 0's.
I also know that tan of pi would be (sin pi/ cos pi) which is equal to 0.
I'm also familiar with the basic inverse properties like sec = 1/cos.
So how about crazy values cos(pi/3) or sin (7 pi/4)?
Thank you guys so much for the help.
Calculus 2 professor doesn't let us use a calculator for tests.
I know the basic values of cos/sin of 0, pi, pi/2,3pi/2 and 2pi. by imagining it in the unit circle as coordinates of 1's and 0's.
I also know that tan of pi would be (sin pi/ cos pi) which is equal to 0.
I'm also familiar with the basic inverse properties like sec = 1/cos.
So how about crazy values cos(pi/3) or sin (7 pi/4)?
Thank you guys so much for the help.
1 Answer
Jun 27, 2018
#sec(pi/3)=2#
Explanation:
So, we have:
#cos(pi/3)=1/2#
Hence:
#sec(pi/3)=2#