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ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

Aug 18, 2018

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Page 1: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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Page 2: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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OPP

ADJ

HYP

θ

In Y9 we learned that

Sin θ = OPPHYP

Cos θ

Tan θ

=

=

ADJHYP

OPPADJ

Page 3: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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OPP

ADJ

HYP

θ

In Y9 we learned that

Sin θ = OPPHYP

Cos θ

Tan θ

=

=

ADJHYP

OPPADJ

But why not

= OPP

HYP

=

=

ADJ

HYP

OPPADJ

The Six Trigonometric Identities

Page 4: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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Page 5: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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Page 6: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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Are there any asymptotes?

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Page 8: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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Page 9: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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Example 1

Use your calculator to find the value of

(a) sec 100o

(b) cot (4π/3)

Example 2Without using your calculator, are the following positive or negative?

-5.76

0.577

a) sec 280o

b) cot 115o

Page 10: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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Example 3 Without using a calculator, work out the exact values of:

a) cot 135o

b) cot (4π/3)

Page 11: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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Classwork and Homework

Ex 6A Q1, 2, 3

Ex 6B Q3, 6, 8

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Page 13: ADJ HYP - WordPress.com · ADJ HYP OPP ADJ The Six Trigonometric Identities. 4. 5. 6 Are there any asymptotes? 7. 8. 9 ... the functions secant e, cosecant e and cotangent O the graphs

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