Posted by **Jill** on Friday, December 9, 2011 at 12:07pm.

My teacher asked for the EXACT VALUES of

sin(pi/6)

cos(pi/4)

csc(pi/3)

I have to figure it out without a calculator?

Also, if I was to do with it with a calculator, would csc be typed as 1/sin?

- pre calc -
**Steve**, Friday, December 9, 2011 at 12:41pm
These are a few standard angles whose trig values it will be worth your time to learn. It is easy to find a table of common angles , and these will be listed, along with pi/2 and 0

pi/6: sin = 1/2 cos = √3/2 tan = 1/√3

pi/4: sin = cos = 1/√2 tan = 1

pi/3: sin = √3/2 cos = 1/2 tan = √3

Note that the co-functions of complementary angles are the same as the functions of the angle. e.g.

sin pi/6 = cos pi/3 because pi/6 + pi/3 = pi/2

sin pi/4 = cos pi/4

and yes, csc = 1/sin

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