Trigonometry and ex 4 E Example Essay

Submitted By hahshshsh
Words: 1460
Pages: 6
Open Document
Advanced Mathematics

Name:___________________________

Trigonometry

Trigonometry
Date
Set
Completion
of exercise
4A
4acegik, 5acegik, 6a, 7-9, 11, 13a, 15ac

4B
2ce, 3ac, 4ace, 5ace, 6ac, 7, 9, 10ac & 12

4C
1, 3, 4, 6-10 & 12-15

4D
2ace, 3ab, 5-7, 9-12, 14a, 16 & 17

4E
1-4, 6-8, 10-13 &14*

WK 1
1aceg, 2aceg, 3aceg, 4all, 5all, 6all, 7abcd

4J
6acegik, 7acegi, 8aceg, 11, 12, 13acegikmo, 16aceg

WK 2 a-i 4G
4ace, 5ace, 7, 8, 10, 11ace & 12

4H
3ace, 4ace, 5, 7 - 9 & 11

Objectives/Goal Score sheet- Trigonometry

Date
Exercise
Worksheet
Objective/Goal
Understanding
Before lesson
(1-4)
Understanding after lesson
(1-4)

1 I do not know anything about… 2 I know I have heard about it but I need a refresher.
3 I know quite a bit about… 4 I could teach it to another student.

Table of contents

1–Unit Circle, SINE COSINE and TANGENT……………………………………p4-7
2-Trigonometric Ratios and Trigonometric Applications…p8-10
3-Finding angles in right angled triangles …………………………………………p11-13
4-2D Trigonometric Applications ……………………………………………………p14-16
5-Bearings …………………………………………………………………………………………p17-19
6-3D Trigonometry…………………………………………………………………………p20-23
7-Degrees and Radians………………………………………………………………………p24-28
8-Exact angles and other identities…………………………………………p29-36
9-Graphing Trigonometric functions ………………………………………p37-43
10-The SINE rule ……………………………………………………………………………p44-46
11-The COSINE rule…………………………………………………………………………p47-49

1 –Unit Circle, SINE COSINE and TANGENT

Evaluate Sine, Cosine and Tangent manually
Sine
Using the unit circle and the angle positions marked around it measure the following sine values to 1 decimal place:
1. sin 30º
2. sin 60º
3. sin 90º
4. sin 150º
5. sin 180º
6. sin 210º
7. sin 240º
8. sin 270º
9. sin 330º
10. sin 360º

Cosine
Using the unit circle and the angle positions marked around it measure the following cosine values to 1 decimal place:
1. cos 30º
2. cos 60º
3. cos 90º
4. cos 150º
5. cos 180º
6. cos 210º
7. cos 240º
8. cos 270º
9. cos 330º
10. cos 360º

Tangent
Using the unit circle and the angle positions marked around it measure the following tangent values to 1 decimal place:
1. tan 30º
2. tan 60º
3. tan 90º
4. tan 150º
5. tan 180º
6. tan 210º
7. tan 240º
8. tan 270º
9. tan 330º
10. tan 360º

2- Trigonometric Ratios and Trigonometric Applications

Example 1 Q3&4 Ex 4A

(a)

(b)

(c)

(d)

Example 2 Q5 Ex 4A

Example 3 Ex 4A q10

Example 4 Ex 4A q12

Example 5 Ex 4A Q13

Example 6 Ex 4A Q15

Ex 4A 4acegik, 5acegik, 6a, 7-9, 11, 13a, 15ac

3- Finding angles in right angled triangles

Example 1 Ex 9C Q2

Press µ chose sin-1

type the rest as shown

instead of going to catalogue k for DD as shown on the right
Press / k to openÐ choose ¢ then type DD

Press / k to openÐ choose ¢ then type DMS

Example 2 Ex 4B Q4

Example 3 Ex 4B Q5

Example 4 Ex 4B Q6

Example 5 Ex 4B Q6

Example 6 Ex 4B Q10

Example 7 Ex 4B Q11

Ex 4B 2ce, 3ac, 4ace, 5ace, 6ac, 7, 9, 10ac & 12

4- 2D Trigonometric Applications

Example 1 Ex 4C Q2

Example 2 Ex 4C Q5

Example 3 Ex 4C Q11

Example 4 Ex 4C Q16

Ex 4C 1, 3, 4, 6-10 & 12-15

H5-Bearings

True bearings (_T) are measured clockwise from due
Show More

Related Documents: Trigonometry and ex 4 E Example Essay

Essay about Sine and Cosine Rules and 3D Trigonometry

Revision Topic 20: Sine and Cosine Rules and 3D Trigonometry The objectives of this unit are to: * use the sine and cosine rules to find the length of sides and angles in triangles; * to use the formula for the area of a triangles; * to solve problems involving the sine and cosine rules; * to solve problems involving trigonometry in 3 dimensions. Brief recap of Grade B and C material: Pythagoras’ Theorem: This theorem, which connects the lengths of the sides in right-angled triangles…

Words 2534 - Pages 11

Trigonometry and Unit Circle Essay

Trigonometry and the Unit Circle Lesson One: Angles and Angle Measures Specific Outcome 1: Demonstrate an understanding of angles in standard position, expressed in degrees and radians. Achievement Indicators: 1.1 Sketch, in standard position, an angle (positive or negative) when the measure is given in degrees. 1.2 Describe the relationship among different systems of angle measurement, with emphasis on radians and degrees. 1.3 Sketch, in standard position, an angle with a measure of 1 radian…

Words 7260 - Pages 30

ti84 manule Essays

TI-36X Pro Calculator Important information............................................................. 2 Examples ............................................................................... 3 Switching the calculator on and off ........................................ 3 Display contrast ..................................................................... 3 Home screen ......................................................................... 3 2nd functions ..........................…

Words 2605 - Pages 11

Chapter 12 Student 3 Essay

element first. e. Any remaining electrons go on the central atom. f. Check to make sure all atoms have their octets.  If the central atom does not have an octet, use multiple bonds. 2. VSEPR Review # edomains # nonbonding domains EDG MG Bond Angles Hybridization 2 0 Linear Linear 180° sp 3 0 Trigonal Planar Trigonal Planar 120° sp2 3 1 Trigonal Planar Bent <120° sp2 4 0 Tetrahedral Tetrahedral 109.5° sp3 4 1 Tetrahedral Trigonal Pyramidal <109.5° sp3 4 2 Tetrahedral…

Words 2968 - Pages 12