awesome jeopardy-SJZ

TRIG VERIFY:

100

(secx-cosx)/secx = sin²x

1-cos²x= sin²x 

200

sin²xcsc²x-sin²x= cos²x

(sin²xcos²x)/sin²x= cos²x

300

(1-cos²x+sin²x)²+4cos²xsin²x=4sin²x

4(sin²x(cos²x+sin²x))= 4sin²x

400

(sin(x)+sin(5x))/(cos(x)+cos(5x))= tan(3x) 

sin(3x)/cos(3x)=tan(3x)

500

cos(2x)/1+2sinxcosx=(1-tanx)/1+tanx

(1-sinx/cosx)/(1+sinx/cosx)= (1-tanx)/1+tanx

TRIG SOLVING:

100

cos(2x)-cosx=0

x= 0, 2pi/3, 4pi/3

or

x=0, 2pi,4pi

200

sin(6x) +sin(2x)=0

x= 0, pi/4, pi/2

or 

x= pi/4, 3pi/4 

300

4sinxcosx=1 

x= pi/12, 5pi/ 12

400

sin²x= 4-2cos²x

no solution 

500

cosx-sinx= √2 sinx/2

x= pi/2, 3pi/2 

or 

x= 3pi/2 

MISC. TRIG:

100

(look at Jenna's drawing) 

Find X?

x= 29.2

200

(look at jennas drawing) 

Find the equation

y= 4sin(pi(x))-1

300

N27degreesW for 100ft then due West-- how far North have you gone? (you can keep numbers exact or round them) 

x= 89.10065242ft

400

Graph this equation; y= -8cot(1/2(x-pi/3)+2

WE will check physically (find Zoe, Jenna, and/or Sawera) 

500

what is the mollweide's formula WITHOUT NOTES

(a+b)/c= (cos[1/2(a-B)])/sin(1/2v)

WATERTOWN TRIVIA:

100

How many schools are a part of Watertown Public Schools?

6 - Early Steps, Cunniff, Lowell, Hosmer, WMS, WHS

200

When was Watertown founded?

1630 (the same year as Boston and Cambridge)

300

When was WHS built?

1925

400

What is the famous chain of "travel centers" in Alabama, Florida, Georgia, Kentucky, Missouri, South Carolina, Tennessee, Colorado, & Texas that Mr. Wulf LOVES

BUCC'EE's

500

What's Spillane's middle name?

Brian