Yazmin and Levi

Misc. Trig

100

cos(x-π/2)

y-scales: 1,0,-1; x-scales: π/2, π, 3π/2, 2π...

200

-1/2cos(2(x+π/3))

y-scales: -1/2, 0, 1/2 ; x-scales: -π/3, π/6, 2π/3

300

5csc(1/2(x-π))+3

y-scales: 8, 3, 2 ; x-scales: π, 3π, 5π, 7π

400

-tan(1/3(x-π)+6

y-scales: 5, 6, 7 ; x-scales: 5π/2, 11π/2, 17π/2

500

-4csc(8x)-7

y-scale: -3, -7, -11 ; x-scale: 0, π/8, 3π/8

Simplify

100

sin^2(x)csc^2(x) - sin^2(x)

 cos^2(x)

200

sin(x)/1+cos(x) + cos(x)/sin(x)

1/sin(x)

300

csc(x)-cot(x)/sec(x)-1

cot(x)

400

(tan(x)+cot(x))^2

sec(x)^2+csc(x)^2

500

1-cos(x)/sin(x) + sin(x)/(1-cos(x))

2csc(x)

Trig Solving

100

6sin^2(x)-3=0 

x = pi/4, 3pi/4,....

200

sin^2(x)+2cos^2(x)=2

x = 0 

300

2cos^2(x)-cos(x)=1 

x = 0, 2pi/3,...

400

sin(8x)=2sin(x)sin(pi/2 - x) 

x = 0, pi/3, 5pi/2, 15pi/2

500

2sin(2x)=cos(pi/2 - x)

x = 0, pi, 1.318..

Spillane

100

Spillane's favorite sport?

Soccer

200

Spillane's favorite music artist?

The Grateful Dead

300

Spillane's favorite food?

Grilled (any?)

400

Spillane's favorite movie?

Good Will Hunting (1997)

500

Spillane's Middle Name? (DOUBLE JEOPARDY!!)

Brian