Bellwork

BellworkSolve for x

x

5341

x

1312

x

1315

Clickers

Bellwork SolutionSolve for x

x

5341 tan 41

5353 tan 41

46.07

x

x

x

Bellwork SolutionSolve for x

x

1312

13tan12

tan12 13

13

tan1261.16

xx

x

x

Bellwork SolutionSolve for x

x

1315

2 2 2

2

2

13 15

169 225

56

56 2 14

x

x

x

x

Apply the Sine & Cosine Ratio

Section 7.6a

The Concept Yesterday the concept of the tangent ratio was

introduced Today we’re going to add to our knowledge of

trigonometric ratios, the sine and cosine functions

The Ratio

Remember: The values for the tangent ratio can be found either via the sine button on your calculator or the table on page 925

sinopp

hyp

Hypotenuse

θ

Opposite Side

Functionally, the sine ratio works very similarly to the tangent function, only it utilizes a different combination of sides

In useFind the sine of the angle, theta

sinopp

hyp

26

θ

21

21n

26si

On your ownFind the sine of theta

53

4.33.53.4

A

B

C

4

On your ownFind the sine of theta

53

4.34.53.5

A

B

C

4

In useFind the correct value for x

sinopp

hyp

19

22o

x

sin 2219

x

19sin 22 x7.12 x

On your ownSolve for x

x

40. 5.3

. 7.71

. 18.67

A

B

C

12

On your ownSolve for x

x55

. .117

. 5.73

. 8.55

A

B

C7

The Ratio

adjcos

hyp

Hypotenuse

θ

Adjacent Side

The cosine function is similar to the sine function in that it utilizes the adjacent function

On your ownFind the cosine of theta

53

4.53.53.4

A

B

C

4

On your ownFind the cosine of theta

53

4.34.53.5

A

B

C

4

On your ownSolve for x

x40

. .063

. 5.52

. 9.19

A

B

C

12

On your ownSolve for x

x55

. 10.90

. 33.13

. 37.19

A

B

C

19

On your ownFind the sine of 45

45

. 1

. 2

1.2

A

B

C

On your ownFind the cosine of 60

60

. 3

3.21.2

A

B

C

Practical example

You are trying to build a ramp so that you can take your bike of some “sweet jumps.” The ramp will have a 320 angle and the face of the ramp will be 12.5 feet long. How wide is the base?

A. 8 ft

B. 10.6 ft

C. 14.74 ft

Practical example

You are trying to build a ramp so that you can take your bike of some “sweet jumps.” The ramp will have a 320 angle and the face of the ramp will be 12.5 feet long. How tall will the ramp be?

A. 6.62 ft

B. 10.22 ft

C. 23.56 ft

Homework

7.610-15, 19-21, 30, 31

Most Important Points• Sine Ratio• Cosine Ratio• Applying the Sine and Cosine Ratio