Page 94 - Numerical Analysis Using MATLAB and Excel

Characteristics of Sinusoids

5π 1
sin 150° = sin ------ = -- = 0.5 (3.24)
-
6 2
°
sin 180 = sin π = 0 (3.25)
7π – 1
sin 210° = sin ------ = ------ = – 0.5 (3.26)
6 2

5π – 2
sin 225° = sin ------ = ---------- = – 0.707 (3.27)
4 2

4π – 3
sin 240° = sin ------ = ---------- = – 0.866 (3.28)
3 2

3π
sin 270° = sin ------ = – 1 (3.29)
2
5π – 3
sin 300° = sin ------ = ---------- = – 0.866 (3.30)
3 2

11π – 1
sin 330° = sin --------- = ------ = – 0.5 (3.31)
6 2

)
– ( cos θ = cos θ (3.32)
cos 90 + ) ° ( θ = – sin θ (3.33)

)
cos ( 180°θ = – cos θ (3.34)
–
)
– (sin θ = – sin θ (3.35)
sin 90 + ) ° ( θ = cos θ (3.36)

)
–
sin ( 180°θ = sin θ (3.37)
θ
sin
tan θ = ------------ (3.38)
cos θ
cos θ 1
cot θ = ------------ = ----------- (3.39)
sin θ tan θ
1
sec θ = ------------ (3.40)
cos θ
1
csc θ = ---------- - (3.41)
sin θ

tan 90 + ) ° ( θ = – cot θ (3.42)

Numerical Analysis Using MATLAB® and Excel®, Third Edition 3−7
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