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Trigo Function

The document covers the basics of trigonometric functions, including positive and negative angles, basic identities, and addition and double angle formulas. It also discusses the signs of trigonometric ratios in different quadrants and provides examples of calculating various trigonometric values for specific angles. Additionally, it includes exercises for finding values of trigonometric functions based on given sine and cosine values.

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Farhan Othman
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16 views4 pages

Trigo Function

The document covers the basics of trigonometric functions, including positive and negative angles, basic identities, and addition and double angle formulas. It also discusses the signs of trigonometric ratios in different quadrants and provides examples of calculating various trigonometric values for specific angles. Additionally, it includes exercises for finding values of trigonometric functions based on given sine and cosine values.

Uploaded by

Farhan Othman
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as DOC, PDF, TXT or read online on Scribd
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TRIGONOMETRIC FUNCTION

POSITIVE AND NEGATIVE GRAPH OF BASIC IDENTITIES


ANGLES i. Sine
ii. Cosine
iii. tangent FUNCTIONS

ADDITION FORMULAE

THE SIX TRIGONOMETRIC


FUNCTIONS OF ANY ANGLES
DOUBLE ANGLE FORMULAE

POSITIVE ANGLE
Anticlockwise direction from positive x-axis

NEGATIVE ANGLE
Clockwise direction from positive x-axis

THE SIX TRIGONOMETRIC FUNCTION OF ANY ANGLES.


c) THE COMPLIMENTARY ANGLE OF ANY ACUTE ANGLE

d) The trigonometri functions of any negative angles


e) The sign of trigonometri ratios in the four quadrants
90

Sin and Cosec (+) All Positive (+)

QUADRANT II QUADRANT I

180 0 (360 )

Tan and Cot (+) Cos and Sec (+)

QUADRANT III QUADRANT IV

270

f)The special angles for trigonometric functions

i) ii)
45
2 2
60 1
1

30 45
3 1

iii)
270 360
0 1 0 -1 0
1 0 -1 0 1
0 0 0
1. Given that sin 150 = 0.5 and cos 150 = -0.866. Find the values of
a. Tan 150
b. Cot 150
c. Sec 150
d. Cosec 150

2. Find the values of


a. Sec 155 b. cosec 260
c. d. sec 730
e. cos (- 338 ) f. tan (- 174 )

3. Given that sin 20 = 0.3420 and cos 20 = 0.9397, find the value of
a. Tan 20 b. cot 20
c. sec 20 d. cosec 20

4. Given that sin 60 = and cos 60 = , find the values of


a. Tan 60 b. cot 60
c. Sec 60 d. cosec 60

5. Find the values of each of the following trigonometry functions. State your
answer in terms of surds.
a. Cos 150 b. sin 225
c. Tan 240 d. cos
e. cosec 135 f. sec 210

g. cot 150 h. cosec

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