Back to . . .
Curve Bank Home
NCB logo

Trigonometry

NCB Deposit #1


NCB Deposit #1
The National Curve Bank is grateful to Robert Palais and Dale Meier of the University of Utah for permission to use their wonderful animation.

Fill-in-the-Blanks:

1.    The value of y =  sin x  at  x  =  0  is  .

2.    The value of y =  sin x  at  x  = π/2 is  .

3.    The value of y =  sin x  at  x  = π/4 is    .

4.    The value of y =  sin x  at  x  = π  is  .

5.    The  maximum value of the function is  .

6.    The  minimum value of the function is  .

7.    The domain of the function is  .

8.    The range of the function is  .

9.    The sine function is an  function as the graph
       indicates symmetry with respect to the origin (0,0).

10.  The sine function has a period of  .

11.  The amplitude of y =  sin x  is  .

12.  The graph  y =  sin (x +2)  has a "phase shift"
       of  2  units  to the  .

Graphs of sine and cosine curves Boe 707, a.k.a. sine and cosine of 45 degrees
The Boeing 707 was the United States' first production jet airliner, and the aircraft with which the US first gained the lead in commercial aviation.  An unconfirmed legend is that the "707" number was selected by the design engineers for their frequent use of the sine and cosine of 45 degrees.
Great Links for Trigonometry

More trig from Palais and Meier:
http://www.math.utah.edu/~palais/sine.html
http://www.math.utah.edu/~palais/bob/Rotation/Rotation.html
http://www.joma.org/more/palaismore.html
 

A commercial site:
http://www.ies.co.jp/math/products/trig/menu.html
 

Home button