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*
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 i
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 15
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.
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 meas
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 .
A
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
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
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
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
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 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 a
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 ca
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
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 o
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
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