Beth D.

ICM (h)

~FACTS ABOUT TRIGONOMETRIC FUNCTIONS~

* The cosine curve is the sine curve translated 90 degrees to the left along the x-axis.

* The cosecant and secant ratios are reciprocals of the sine and cosine ratios. (Their curves are also reciprocals of one another).

* Sine, cosine, cosecant, secant, tangent, and cotangent graphs are periodic functions, meaning that they repeat. Sine, cosine, cosecant, and secant curves repeat every 360 degrees, and tangent and cotangent graphs repeat every 180 degrees.

THE SIX TRIGONOMETRIC PROBLEMS

        y = sin x

        y = cos x

        y = csc x

        y = sec x

        y = tan x

        y = cot x

WORD PROBLEM

Graph the sine function between 0 and 360 degrees and use it to: 

a) Find the values of x for which sine x = 0

b) Find the values of x for which sine x = 1.

ANSWER:

First, graph the function:

To find the values of x for which sine of x = 0, look at the graph and determine where it intersects the x-axis.

Therefore, the answer is 0, 180, and 360 degrees.

To find the values for which sine of x = 1, look at the graph and determine where it corresponds with y = 1.

Therefore, the answer is 90 and 270 degrees.

For more information on the sine function, visit: http://people.hofstra.edu/faculty/Stefan_Waner/trig/trig2.html

~QUOTE~

"Courage is fear that has said its prayers." -Dorothy Bernard

The quote says that courage is simply fear that presses on despite itself. Courage is fear that has learned to trust in the fact that there is a higher power. 

 Credits:

• Image of chick acquired from www.school.discovery.com

• Information about trigonometric functions acquired from Advanced Mathematical Concepts by Glencoe McGraw-Hill.

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