Page 41 - Calculus Demystified

28 y CHAPTER 1 Basics

1
√2 11 /4
1
√2 x

unit circle

Fig. 1.37

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√
√
Therefore x =−1/ 2 and y = 1/ 2. It follows that

sin θ = y = √ 1
2
1
cos θ = x =−√ 2

tan θ = y =−1
x
cot θ = x =−1
y
1 √
sec θ = x =− 2
√
csc θ = 1 = 2.
y
Similar calculations allow us to complete the following table for the values of
the trigonometric functions at the principal angles which are multiples of π/6
or π/4.

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