Trigonometry and ex 4 E Example Essay

Submitted By hahshshsh
Words: 1460
Pages: 6

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…