Trigonometry

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Trigonometry (Continued)

description

Trigonometry. (Continued). C A H. S O H. T O A. What we know already!. O means theta. Hyp. opp. O. Adj. Find the missing length. Sin O = opposite hypotenuse Sin 30º = Y 15 0.5 = y 15 0.5 x 15 = Y Y = 7.5. 15. Y. 30°. - PowerPoint PPT Presentation

Transcript of Trigonometry

Page 1: Trigonometry

TrigonometryTrigonometry

(Continued)(Continued)

Page 2: Trigonometry

S O H

C A H

T O A

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What we know already!What we know already!

O

opp

Adj

Hyp O means theta

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Find the missing lengthFind the missing length

Y1530°

Sin O = opposite

hypotenuse

Sin 30º = Y

15

0.5 = y

15

0.5 x 15 = Y

Y = 7.5

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Finding angles when you know the lengths

Finding angles when you know the lengths

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What if we know the length and want to find the angle?What if we know the length and want to find the angle?

O

14cm

17cm

Tan O = opposite

adjacent

Tan O = 14

17

Tan O = 0.8235

Angle O = inv tan 0.8235

Angle O = 39.47º

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Using the inverse button on your calculator, work out the following angles

Using the inverse button on your calculator, work out the following angles

1) Sin = 0.6421

2) Cos = 0.7254

3) Tan = 0.2125

4) Cos = 0.9564

5) Tan = 0.5

6) Sin = 0.86247)

Tan = 0.5724

8) Sin = 0.8

9) Cos = 0. 9847

10) Tan = 0.7464

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Please copy the diagrams and find the missing lengths

Please copy the diagrams and find the missing lengths

Y

25

XA

X

6.2

A

BC

X

A 25 B

20

25

B

12AC

C

BC

30º

30

70º 40º

23º50

30º

45º

6.5

40º

1

2

3

4

5

6

7

8