8-6 The Sine and Cosine Ratios

Review Tangent X Z Y opp adj hyp

Tangent example X Z Y a 14 34 ͦ

What about the hypotenuse? X Z Y a 14 34 ͦ c

Sine X Z Y opp adj hyp

sin 24 °= ? 0.4023 0.9135 0.4067 0.4463 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

0.4023

0.9135

0.4067

0.4463

sin ___ = 0.4856 26 ° 29 ° 45 ° 0.0085 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

26 °

29 °

45 °

0.0085

Solve for x. 2.3 2.0 3.3 2.8 X 9 23 ° 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

2.3

2.0

3.3

2.8

Cosine X Z Y opp adj hyp

cos 24 °= ? 0.4023 0.6754 0.9135 0.4463 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

0.4023

0.6754

0.9135

0.4463

Solve for x. 17 5 13 14 X 12 23 ° 0 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1

17

5

13

14

How are we going to keep this all together?

SOHCAHTOA

SPICSA Page 314 2-16 even