Page 40 - Calculus Demystified

CHAPTER 1
1 Basics 1 27
0.5 0.5

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6 4 2 2 4 6 6 4 2 2 4 6
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0.5 0.5
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1 1
Fig. 1.36(a) Graphs of y = sin x and y = cos x.

30 30
20 20
10 10

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6 4 2 2 4 6 6 4 2 2 4 6
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10 10
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20 20
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30 30
Fig. 1.36(b) Graphs of y = tan x and y = cot x.

15 15
10 10
5 5
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4 2 2 4 2 4 6
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6 6 6 4 2
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5 5
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10 10
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15 15
Fig. 1.36(c) Graphs of y = sec x and y = csc x.

SOLUTION
We first notice that the principal associated angle is 3π/4, so we deal with
that angle. Figure 1.37 shows that the triangle associated to this angle is an
isosceles right triangle with hypotenuse 1.