Volume of Prisms and Cylinders 12.4
Volume of Prisms
The volume V of a prism is V = B h where B is area of
the base and
h is the height.
Examples: Find the volume of each prism.
a)
b)
Volume of Prisms and Cylinders 12.4
Volume of a Cylinder
The volume V o
Exponential/Logarithmic Applications Project
The purpose of this project is to give you an opportunity to explore all of the different areas where
exponential and logarithmic equations are used. You will choose to work in pairs or alone and you will
choos
Pre AP/GT Pre-Calculus The 6 Trigonometrie Functions
Let P be a point on the terminal side of angle El . Draw the angle in
standard position and nd the E trig functions of 8.
El FEW
ill Plll
Given information about one trig function, nd the value of oth
Pre AP/GT Pre-Calculus Unit Circle Class Work
Calculate the value of each of the following.
1. 5sin 90-7cos 180
2. 2 180 + 2 180
3.
4. 6cot
cos 0 sin 270 -cos 270 sin 0
3
2
+3sec
3
5. 6sin 30 -4cos 150
6. 8sin 60-4sin 300
7. (4tan 120 )(8cos 225 )
8. 6sin
Pre AP Pre-Calculus Angles in Standard Position
Class Work
For each of the following draw the angle in standard position,
label the reference angle, and find a positive and negative coterminal angle.
1. 238
2. 314
3. 78
4. 2200
5. 196
6.1192
7.
8.
9.
7
4
Angles in Standard Position
An angle in standard position is drawn on a coordinate plane, with
initial side on the positive x-axis and the terminal side in the quadrant
corresponding to the angle measurement. Positive angles are drawn
counterclockwise, an
22ConditionalStatements.notebook
September13,2015
Conditional Statements
& Related Conditionals
Sep269:28AM
1
22ConditionalStatements.notebook
September13,2015
Objective:
Identify, write, and analyze the truth
value of conditional statements.
Write the in
Arc Length:
We know the circumference of a circle is given
by C=2r where r is the radius of the circle. This formula can
also be used to find the length of an arc intercepted by some
central angle .
Arc Length Formula: s=r, where r is measured in linear u
Linear Velocity and Angular Velocity
Class Work
1. A childs toy car has a wheel radius of 8 inches. If the child
pushes the car and the wheels rotate at 45 revolutions per
minute, how fast is the car traveling in miles per hour?
2. The Spinner is an amuse
Name: _
Undefined Terms
Classify the following examples as points, lines or planes.
1. The top of your desk _
2. The chocolate chips on a cookie _
3. A taut piece of thread _
4. Your bedroom walls _
5. the light from a lase pointer _
6. The knot in a rope
Section 7.7 Product-to-Sum and Sum-to-Product
Formulas
The proofs of the formulas in this section are found in the textbook.
Example 1*: Express Products as Sums
Express each of the following products as a sum containing only sines or cosines:
(a) sin(3 )
Section 8.1 Right Triangle Trigonometry;
Applications
Exploration 1: Find the Value of Trigonometric Functions of Acute Angles Using Right Triangles
The values of the trigonometric functions have been found by looking at circles of radius r . Another way
Section 7.4 Trigonometric Identities
In previous sections, the Pythagorean Identity, sin 2 cos2 1 was developed. What makes this equation an
identity? Just like every person has his or her own identity, in mathematics we say that an equation is an
identit
Section 8.3 The Law of Cosines
In the previous section, the Law of Sines was used to solve Case 1 (SAA or ASA) and Case 2 (SSA) of an
oblique triangle. In this section, the Law of Cosines is derived and used to solve Cases 3 and 4.
Exploration 2: Proof of
Section 7.5 Sum and Difference Formulas
In past sections, many common angles have been found and memorized. But what if we were asked to find the
measure of an angle that is not memorized without a calculator, for example cos15 ?
Example 1: Use Sum and Di
Section 7.6 Double-angle and Half-angle
Formulas
In the previous section, the following sum and difference formulas were discovered:
Sum and Difference Formulas
cos( ) cos cos sin sin
cos( ) cos cos sin sin
sin( ) sin cos cos sin
sin( ) sin cos cos sin
Section 8.2 The Law of Sines
If none of the angles of a triangle is a right angle, the triangle is called oblique. An oblique triangle with either
have three acute angles or two acute angles and one obtuse angle.
To solve an oblique triangle means to find
Section 7.3 Trigonometric Equations
Solving equations is a technique that has been used since early Algebra courses. For example, the solution to
2x + 1 =
7 is true when x = 3 and false for all other solutions. Trigonometric equations can also be solved.
Section 8.4 The Area of a Triangle
1
From geometry, we know that the area of a triangle is = 2
NOTE: Your book (and MML) uses K instead of A.
But, sometimes, we arent given the height.
Exploration 1*: Find the Area of SAS Triangles
Consider the triangle