HJP

Trig Verify Simplify

100

Prove
SecTan=sin/1-sin²

turn everything into sin and cos, sec*tan=sin/cos².Cos²=1-sin² so sin/1-sin²=sec*tan

200

sin(cos²)-sin=-sin³

factor out sin, so Sin(cos²-1)=sin(-sin²)=-sin³

300

Prove
(1/1-sin)+(1/1+sin)=2sec²

Use common denominators, it becomes 1-sin². Numerators each become 1-sin and 1+sin. 1-sin+1+sin=2. 2/1-sin² is the same as 2/cos² or 2sec²

400

prove
(1+sin)/(cos*sin)=(1/cos)((1/sin)+1)

Multiply out right side, so (1/cos*sin)+1/cos. Multiply the 1/cos by sin/sin, so that you can combine like terms and then you get (1+sin)/cos*sin which is the left side of the equation

500

sin(x+y)sin(x-y)=sin²x-sin^y

Expand using ___to get (sinxcosy+sinycosx)(sinxcosy-sinycosx), simplify this down to sinxcosy²-cosxsiny², turn the cos² into 1-sin², and factor out the sin². Expand out the equation sin²x(1-sin²y)-sin²y(1-sin²x), and you get sin²x-sin²y, the right side of the equation

Misc. Trig

100

See paper

tanX=3/4

200

Triangle ABC

Find c

a=12

b=14

<C=40^°

c=9.08

300

Triangle ABC

Find c

a:15

<A:82^°

<C:36^°

c=8.9

400

Prove

Sec²θ/Sec²θ=Csc²θ

Sec²θ/Tan²θ

1/cos²θ / cos²θ/sin²θ

1/sin²θ

Csc²θ

500

see paper 

Angle ADB = 10 degrees 

AD = 121.6

Trig solving w/ identities

100

What identity is this?
cosA+cosB=2cos(A+B/2)cos(A-B/2)

Sum to product identities

200

If sin(-x)=-sinx, tan(-x)=-tanx, what is cos(-x)

cosx

300

What is the law of cosines?

a²=b²+c²-2bc(cosa)

400

How do you expand Sin(4x-3y)

sin4x(cos3y)-sin3y(cos4x)

500

Simplify the equation using identities
((tan(pi/2-theta))²+1)^.5

1/sin

Watertown Trivia

100

when are we supposed to go back to the new Watertown highschool

After April vacation 

200

How many Dunkin Donuts are there in Watertown 

4

300

Which major incident happened in 2013

The Boston Marathon bombing 

400

Where is What Da Chick 

Near Filippello Park

500

What was the original name of Watertown

Saltonstall Plantation