afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

FYITests are graded

Check jupitergrades for grade

Corrections may be made before or after school until Thursday after school

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

Answers

6a) III 6b) IV 12a)

12b) 16a) 19π/4 and ­5π/4

16b) π/6 and ­23π/6 18a) 26π/9 and ­10π/9

18b) 98π/45 and ­37π/45

26a) I 26b) Omit 28a) II 28b) IV

Answers

30a) 30b)

32a) 32b)

34a) 4800 and ­2400 34b) 11000 and ­3400

36a) ­7800 and 3000 36b) 5900 and ­1300

38a) Comp = 110; Sup = 101038b) Comp = None; Sup = 300

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

UsingThe Unit Circle

The 6 Main Trig Functions

sin(t) csc(t)

cos(t) sec(t)

tan(t) cot(t)

All are based on sine and cosine

csc(t) = 1/sin(t) sec(t) = 1/cos(t)

tan(t) = sin(t)/cos(t) cot(t) = cos(t)/sin(t)

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

The Unit Circle

Reference back inside cover for your Unit Circle

Relationship Between Unit Circle and Trig Functions

sin(t) = y

cos(t) = x

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

Evaluating Using the Unit CircleEx 1

Evaluate (if possible) the sine, cosine and tangent of the real number

π/3

Evaluating Using the Unit CircleEx 2

Evaluate (if possible) the sine, cosine and tangent of the real number

­5π/4

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

Evaluating Using the Unit CircleEx 3

Evaluate (if possible) the sine, cosine and tangent of the real number

­3π

Evaluating Using the Unit CircleEx 4

Evaluate (if possible) the sine, cosine and tangent of the real number

7π/2

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

Evaluating Using the Unit CircleYou Try

Evaluate (if possible) the sine, cosine and tangent of the real number

­5π/3

Evaluating Using the Unit CircleEx 1

Evaluate (if possible) the six trigonometric functions of the real number.

­5π/3

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

Evaluating Using the Unit CircleEx 2

Evaluate (if possible) the six trigonometric functions of the real number.

6π

Evaluating Using the Unit CircleEx 3

Evaluate (if possible) the six trigonometric functions of the real number.

7π/4

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

Evaluating Using the Unit CircleEx 4

Evaluate (if possible) the six trigonometric functions of the real number.

5π/6

Evaluating Using the Unit CircleYou Try

Evaluate (if possible) the six trigonometric functions of the real number.

­8π/3

afm_sec4­2_basicTrig_usingUnitCircle.notebook

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March 05, 2012

Assignmentp 377

#s: 13 ­ 38 All