# Table Of Trig Function Values For Special Angles

Table of Trig Function Values for Special Angles --
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Why do we need to know this?
The exact answers for the various trig functions for certain angles are very well known,
and your teachers will expect you to know them. This is one of those times when some
memorization is important.
What should you know?
You should know and be able to reproduce this table with no books, no notes, and
no calculator.
θ in radians θ in degrees sin(θ) cos(θ)
tan(θ)
0
0
1
0
π
1
3
3
30°
6
2
2
3
π
2
2
45°
1
4
2
2
π
1
3
60°
3
3
2
2
π
90°
1
0
undefined
2
You will also need to know these trig functions for special angles all around the circle
π
7
3
=
(for example,
cos
.) I think it’s easier to memorize this small table and use
6
2
pictures and reference angles to figure out the others.
An assortment of facts that can help you remember or figure out the special values.
• Remember the two special right triangles and then use SOHCATOA to compute
the sines and cosines. The 45-45-90 right triangle has both its legs the same, so
you can use the Pythagorean Theorem to find its hypotenuse. The 30-60-90 right
triangle is half of an equilateral triangle, so its short leg = ½ of its hypotenuse.
You can use the Pythagorean Theorem to find the length of the longer leg.