5-2 reciprocal ratios. remember: sine cosine: tangent:
TRANSCRIPT
![Page 1: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/1.jpg)
5-2 RECIPROCAL RATIOS
![Page 2: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/2.jpg)
Remember:• Sine
• Cosine:
• Tangent:
![Page 3: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/3.jpg)
Basic Trig Review
x
15
178
20
y
225
x
13
![Page 4: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/4.jpg)
Reciprocal Trigonometric Ratios
There are actually 3 more trig ratios other than sine, cosine, and tangent. They are:
![Page 5: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/5.jpg)
Practice:
1) If cos(x) = ¾, find sec(x)
2) If cscθ= 1.345, find sinθ
3) If tanθ = .8, find cotθ
![Page 6: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/6.jpg)
4) Find the values of all 6 trigonometric ratios from <P(leave in radical form…no decimals!)
• Sin = Cos = Tan=
• Csc = sec = cot =
![Page 7: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/7.jpg)
Using Special Right Triangles• Remember from Geometry….
![Page 8: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/8.jpg)
Examples
5) Solve for the missing sides.6) Solve for the missing sides.
5
45
45
5
30
60
![Page 9: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/9.jpg)
Examples
7) Solve for the missing sides.8) Solve for the missing sides.
12
30
60
9
30
60
![Page 10: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/10.jpg)
Using Special Right Triangles
Use the figures to write the trig ratios for an 30°
Sin 30 = csc30 =
Cos30= sec 30=
Tan 30= cot 30=
![Page 11: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/11.jpg)
θ Sin Cos Tan Csc Sec Cot
30
45
60
This chart is important! You need to either memorize the values, or know how to create it from scratch!
![Page 12: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/12.jpg)
Cofunctions
Cofunctions: Two trig functions that have the same ratio.
Ex) Sin 30 = ½, and Cos 60= ½
Using the chart, name 2 other cofunctions:
What is the relationship between the angles?
![Page 13: 5-2 RECIPROCAL RATIOS. Remember: Sine Cosine: Tangent:](https://reader036.vdocuments.mx/reader036/viewer/2022081603/56649e875503460f94b8b3b9/html5/thumbnails/13.jpg)
Assignment:• P. 288 (14-22) (25)