Embed Size (px)
DESCRIPTION
Clickers. Bellwork. Solve for x. Bellwork Solution. Solve for x. Bellwork Solution. Solve for x. Bellwork Solution. Solve for x. Apply the Sine & Cosine Ratio. Section 7.6a. The Concept. Yesterday the concept of the tangent ratio was introduced - PowerPoint PPT Presentation
Citation preview
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
