Docsity
Docsity
Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity

Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan

Guidelines and tips
Guidelines and tips
Sell on Docsity
Sell on Docsity
Docsity AI
Docsity AI
Log inSign up

Prepare for your exams

Study with the several resources on Docsity

Find documents

Prepare for your exams with the study notes shared by other students like you on Docsity

Search for your university

Find the specific documents for your university's exams

Docsity AINEW

Summarize your documents, ask them questions, convert them into quizzes and concept maps

Explore questions

Clear up your doubts by reading the answers to questions asked by your fellow students

Earn points to download

Earn points by helping other students or get them with a premium plan

Share documents
download point icon20 Points

For each uploaded document

Answer questions
download point icon5 Points

For each given answer (max 1 per day)

All the ways to get free points
Get points immediately

Choose a premium plan with all the points you need

Study Opportunities

Choose your next study program

Get in touch with the best universities in the world. Search through thousands of universities and official partners

Community

Ask the community

Ask the community for help and clear up your study doubts

Free resources

Our save-the-student-ebooks!

Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors

Mathematics Trig summary, Summaries of Mathematics

Mathematics

Trig formulas & quick summary"

Typology: Summaries

2025/2026

Uploaded on 06/20/2026

fate-99
fate-99 🇿🇦

2 documents

1 / 2

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
NOTES
TRIGONOMETRY (DEFINITIONS) 02 H 106
After completing this module, you should be able to identify where sine, cos and tan are
positive or negative in all 4 quadrants.
REINFORCEMENT EXERCISE
Trigonometry (Definitions) 02 H 106
1. Fill in the correct quadrants…
(a) sine is positive in quadrants ………. and ………..
(b) cos is positive in quadrants ………. and ………..
(c) tan is positive in quadrants ………. and ………..
(d) cos is negative in quadrants ………. and ………..
(e) sine is negative in quadrants ………. and ………..
(f) tan is negative in quadrants ………. and ………..
2. Fill in the correct quadrant:
(a) If
sin 0 and cos 0,

then
is an angle in quadrant …
(b) If
sin 0 and cos 0,

then
is an angle in quadrant …
(c) If
cos 0 and tan 0,

then
is an angle in quadrant …
(d) If
tan0 and sin0,

then
is an angle in quadrant …
CAST DIAGRAM…
* all are positive in 1st quadrant
* sine is positive in 2nd quadrant
* tan is positive in 3rd quadrant
* cos is positive in 4th quadrant
Example 1: If sin 0,21
then
is an angle in quadrants 1 or 2
Example 2: If sin 0,21
 then
is an angle in quadrant 3 or 4
Example 3: If cos 0,21
and oo
90 360 ,
 then
lies in quadrant 4
S
T
A
C
pf2

Partial preview of the text

Download Mathematics Trig summary and more Summaries Mathematics in PDF only on Docsity!

NOTES

TRIGONOMETRY (DEFINITIONS) 02 H 106

After completing this module, you should be able to identify where sine, cos and tan arepositive or negative in all 4 quadrants.

REINFORCEMENT EXERCISE

Trigonometry (Definitions) 02 H 106

  1. Fill in the correct quadrants… (a) sine is positive in quadrants ………. and ……….. (b) cos is positive in quadrants ………. and ……….. (c) tan is positive in quadrants ………. and ……….. (d) cos is negative in quadrants ………. and ……….. (e) sine is negative in quadrants ………. and ……….. (f) tan is negative in quadrants ………. and ………..
  2. Fill in the correct quadrant: (a) If sin  0 and cos  0,then  is an angle in quadrant … (b) If sin  0 and cos  0,then  is an angle in quadrant … (c) If cos  0 and tan  0,then  is an angle in quadrant … (d) If tan  0 and sin  0,then  is an angle in quadrant …

 CAST DIAGRAM…

  • all are positive in 1st^ quadrant
  • sine is positive in 2nd^ quadrant
  • tan is positive in 3rd^ quadrant
  • cos is positive in 4th^ quadrant

Example 1: If sin   0, 21then  is an angle in quadrants 1 or 2 Example 2: If sin   0, 21 then  is an angle in quadrant 3 or 4

Example 3: If cos   0, 21and 90 o   360 ,o then  lies in quadrant 4

S

T

A

C

REINFORCEMENT ANSWERS

Trigonometry (Definitions) 02 H 106

(a) 1 and 2 (b) 1 and 4

(c) 1 and 3 (d) 2 and 3

(e) 3 and 4 (f) 2 and 4

  1. (a) Quadrant 1 (b) Quadrant 2

(c) Quadrant 4 (d) Quadrant 4

S

T

A

C

S

T

A

C

S

T

A

C

S

T

A

C

S

T

A

C

S

T

A

C

S

T

A

C

S

T

A

C

S

T

A

C

S

T

A

C

positive negative