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The Sine and Cosine RatiosThe Sine and Cosine Ratios

Review TangentReview Tangent

tan oppxadj

X Z

Y

opp

adj

hyp

Tangent exampleTangent example

X Z

Y

a

1434 ͦ

tan 3414a

0.674514a

9.4a

What about the What about the hypotenuse?hypotenuse?

X Z

Y

a

1434 ͦ

c

SineSine

sin oppxhyp

X Z

Y

opp

adj

hyp

sin 24sin 24°= ?°= ?

0%

100%

0%

0% 1.1. 0.40230.40232.2. 0.91350.91353.3. 0.40670.40674.4. 0.44630.4463

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2121 2222 2323 2424 2525 2626

sin ___ = 0.4856sin ___ = 0.4856

0%

0%

96%

4% 1.1. 2626°°2.2. 2929°°3.3. 4545°°4.4. 0.00850.0085

11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020

2121 2222 2323 2424 2525 2626

Solve for x.Solve for x.

0%

95%

0%

5%

X9

23°

1.1. 2.32.32.2. 2.02.03.3. 3.33.34.4. 2.82.8

11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020

2121 2222 2323 2424 2525 2626

CosineCosine

cos adjxhyp

X Z

Y

opp

adj

hyp

cos 24cos 24°= ?°= ?

0%

95%

0%

5% 1.1. 0.40230.40232.2. 0.67540.67543.3. 0.91350.91354.4. 0.44630.4463

11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020

2121 2222 2323 2424 2525 2626

Solve for x.Solve for x.

5%

95%

0%

0%

X

1223°

1.1. 17172.2. 553.3. 13134.4. 1414

11 22 33 44 55 66 77 88 99 1010 1111 1212 1313 1414 1515 1616 1717 1818 1919 2020

2121 2222 2323 2424 2525 2626

How are we going to How are we going to keep this all together?keep this all together?

SOHCAHTOASOHCAHTOAsin

cos

tan

oppxadjadjxhypoppxadj

s =

c =

t =

ohahoa

SPICSASPICSA

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