Trigonometry Problems

Viewer	Site for Download	Cost	Comments	More Info.
DPGraph	www.dpgraph.com	Free	Windows and Linux.	Click here
PowerPoint	www.microsoft.com	Free*	Windows**	Viewer only
Winplot	http://math.exeter.edu/ rparris/winplot.html	Free	Windows.	Click here

Sec. 8.3: Demonstrate the relationship between sine and the unit circle and cosine and the unit circle.	(need dpgraph for all links) Sine and the unit circle Cosine and the unit circle Sine, Cosine and the unit circle all in 1 graph : Use cursor keys to rotate graph
Sec. 8.3: Demonstrate the relationship between sine and the unit circle and cosine and the unit circle.	(need Winplot for these links) Sine, Cosine and the Unit Circle in 1 (Degrees) : A = Angle Sine, Cosine and the Unit Circle in 1 (Radians) : A = Angle
Sec. 8.3: Demonstrate the different part of the graphs of trig. functions.	(need dpgraph for all links) Vertical shifts of y=cos(x) : Turn on scrollbar with variable D to move graph up or down. Phase shifts of y=tan(x) : Turn on scrollbar with variable C to move graph left or right. Amplitude change of y=sin(x) : Turn on scrollbar with variable A to change amplitude. Period change with y=csc(x) : Turn on scrollbar with variable B to change period. All 4 with y=cos(x) : Turn on scrollbar with variable A, B, C or D.
Sec. 9.5-9.6: Solving a non-linear inequality.	(need PowerPoint for all links) General Steps
Sec. 10.6: Find the rectangular equation of the graph of x=y² rotated /4 clock-wise.	(need dpgraph for all links) Original graph : x=y² r cos = ( r sin )² cot csc = r To rotate about origin replace with (-). r = cot(-) csc(-) Rotating graph : Turn on scrollbar with variable A= to rotate. r = cot(-) csc(-) r² sin²(-) =r cos(-) r² [sincos-cossin]² =r [coscos+sinsin] [ycos-xsin]² =xcos+ysin y²cos²-2xysincos+x²sin² = xcos+ysin y²cos²-xysin(2)+x²sin²-xcos-ysin =0 So for =-/4. (1/2)y²+xy+(1/2)x²-(√2/2)x+(√2/2)y =0 Final graph .