Honors PC sem 2 review 2022

Trig and Area

100

We use Herron's formula to find area when we know...

SSS or all the sides and no angles

200

Find a if  a/ (sin 34) = 16/(sin 69).  This is the law of sins.  Round to 2 decimal places.

9.58

300

Find the cos^-1(-1/2).

2pi/3

400

Simplify completely: 

(cos² B + sin² B) / (tan B)

cot B

500

 Solve for x, from [ 0 - 2pi)

2 sin x - 1 = 0

pi/6, 5pi/6

Conics and Polars

100

This is an equation for a ...

(x-2)²/4 - (y+7)²/9 = 1

Hyperbola

200

The center of this circle is...

(x+9)² + (y - 1)² = 18

(-9,1)

300

To change from standard form to graphing form we..

Complete the square

400

Another name for this polar point  ( 3,  2pi/3) is..

( 3, -4pi/3) or (-3, -2pi/3)

500

Write this polar equation in rectangular form.

r = cos B

x²+y²=x

Bearings and Vectors

100

To find the true speed, as a bearing, we use this formula.

LOC

200

If A=<3, -5> and B = <1, 4>, find AB.

<-2, 9>

300

A bearing, like N 35 E, is always measured from the axis.

y or north/south or vertical

400

The True direction of this vector: 

< 225, -432>.  Round to 2 decimal places.

297.51 degrees

500

The magnitude of <225, -432>.  Round to 2 decimal places.

487.08 

Matrices and Limits

100

In matrices, we use this formula to solve for the variable.

X = A^-1B

200

When my fingers do not touch on a graph, we say the limit...

DNE

300

The limit as x-> 4 of 3x² -13 is ...

35

400

True or false, to find the slope of the tangent line, we use the difference quotient.

true

500

The limit as x-> 5 of (x² -8x +15) /(x - 5)

2

Misc

100

A mile is this many feet.

5280

200

To retake a quiz in this class, you had to come in and..

remediate.

300

The formula for finding the area of a triangle, that uses the sin is...

(1/2)ab sin C

400

This is how many desks are in Mrs. Smith's room.

31

500

Mrs. Smith's dog's name is...

Chili