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Signs of functions in each quadrant
15

Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Dec 18, 2015

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Janice Long
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Page 1: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Signs of functions in each quadrant

Page 2: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 4

900 :1Quadrant

I

18009 :2Quadrant

II

270018 :3Quadrant

III

360027 :4Quadrant

IV

56 :1Quadrant

To determine sign (pos or neg), just pick angle in quadrant and determine sign.

positive 906.65sin

positive 422.65cos

001 :2Quadrant positive 984.100sin

negative 173.100cos

Now do Quadrants III and IV.

Page 3: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

cos

sin

cos

sin

cos

sin

cos

sin

Page 4

IIIquadrant in lies 250 a.

IIIquadrant

negative issin because negative, b.

Page 4: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 4

positive means 0sin negative means 0cos

In what quadrant is sin positive and cos negative?

cos

sin

cos

sin

cos

sin

cos

sin

Page 5: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 4

cos

sin

cos

sin

cos

sin

cos

sin

Page 6: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 4

positiveboth

positive cos means 0cos A

negative issin cos means 0sincos AA __

sin and cos is Where

Page 7: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

positive.sin means 2

2xsin

negative. cos means 2

2xcos

sin and cos is Where

Page 4

Page 8: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

The UNIT CIRCLE sin determine

circle,unit theUsing

hyp

oppsin

1

b b

os determine

circle,unit theUsing

c

hyp

adjcos

1

a a

.equivalent with their

b & a replacecan weNowcos

sin

sin,cos, PbaP

sin,cosP

Any point on the unit circle can be found by taking the cos and sin of the given angle.

Page 4

Page 9: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

cos

sin

3524,.425.P

cos 2.

sin 1.

:following thedetermine circle,unit the

on 3524,.425.point Given P

Every point on the unit circle has coordinates

sin,cosP

So, when they ask you to determine the sin of theta, it is just the second coordinate.

3524.sin

425.cos

Page 4

Page 10: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

3.5sin .5cos

Page 4

Page 11: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 5

3

5sin

3

2cos

Page 12: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 5

cos

sin

REMEMBER

ABsin

OBcos

Page 13: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 5

2

1cos

2

2sin

Page 14: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 5

cos

sin

cos

sin

cos

sin

cos

sin

Page 15: Signs of functions in each quadrant. Page 4 III III IV To determine sign (pos or neg), just pick angle in quadrant and determine sign. Now do Quadrants.

Page 5

cos

sin

cos

sin

cos

sin

cos

sin