lecture1-functions,%20tangents

# lecture1-functions,%20tangents - 1 Most material in...

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Unformatted text preview: 1 Most material in sections 1.1-1.4 you should review on your own! • Function assigns to each element of the domain an element of the range • For each “input” the “output” must be unambiguous . • Given a rule, e.g. f : x → √ x + x , instead of function “ f ( x )” better think f ( ) = √ + • A graph is not a function, but may be associated with one Sections 1.3: Trigonometric functions Radians : ark-length swept by the angle on a unit circle going from the point (1 , 0) (CW: +, C-CW:- ). • Full circle 360 ◦ = • Half a circle 180 ◦ = 1 2 circumference = radians • 60 ◦ = 45 ◦ = To convert, remember that π radians = half a circle, i.e. 180 ◦ . On a unit circle: sin = y-coordinate, cos = x-coordinate. Multiply by sine : “shadow” onto the Y-axis ; by cosine : onto the X-axis 2 Domain of cos x, sin x : Range: π/ 6 π/ 4 π/ 3 sin : 1 2 → √ 2 2 → √ 3 2 cos : cos ( 7 π 6 ) cos (- 3 π 2 ) sin (- 3 π 4 ) The values of sin, cos repeat after every 2...
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lecture1-functions,%20tangents - 1 Most material in...

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