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5-2 RECIPROCAL RATIOS
Remember:• Sine
• Cosine:
• Tangent:
Basic Trig Review
x
15
178
20
y
225
x
13
Reciprocal Trigonometric Ratios
There are actually 3 more trig ratios other than sine, cosine, and tangent. They are:
Practice:
1) If cos(x) = ¾, find sec(x)
2) If cscθ= 1.345, find sinθ
3) If tanθ = .8, find cotθ
4) Find the values of all 6 trigonometric ratios from <P(leave in radical form…no decimals!)
• Sin = Cos = Tan=
• Csc = sec = cot =
Using Special Right Triangles• Remember from Geometry….
Examples
5) Solve for the missing sides.6) Solve for the missing sides.
5
45
45
5
30
60
Examples
7) Solve for the missing sides.8) Solve for the missing sides.
12
30
60
9
30
60
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=
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!
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?
Assignment:• P. 288 (14-22) (25)