
The Other Trigonometric Functions
Presentation
•
Mathematics
•
9th - 12th Grade
•
Medium
+1
Standards-aligned
Abbie Gutzmer
Used 17+ times
FREE Resource
6 Slides • 21 Questions
1
Values of cotangent, secant and cosecant
2
Multiple Choice
REVIEW
What is sin 30°?
√3/2
1
½
√2/2
3
Multiple Choice
REVIEW
What is cos 90°?
½
undefined
1
0
4
Multiple Choice
REVIEW
What is sin 45°?
1
√3/2
½
√2/2
5
Multiple Choice
REVIEW
What is cos 60°?
½
√3/2
√2/2
1
6
The TANGENT of an angle is defined in Geometry by the ratio of the opposite side and adjacent side.
The TANGENT of an angle is defined by the UNIT CIRCLE as y/x.
The TANGENT of an angle in Trigonometry is defined by the ratio of sinΘ and cosΘ
7
Multiple Choice
The GEOMETRY use of TANGENT;
Find the trig value. Take note you are looking for the tangent of angle C.
A
B
C
D
8
Multiple Choice
One - more:
Find the trig value. Again, stating the tangent of C.
A
B
C
D
9
The tangent is equivalent to the sin value divided by the cosine value. Which is the same idea as y divided by cosine? Right??
10
Multiple Choice
Which of the following is the value of;
(It might be helpful to convert to a degree first.)
tan(47π)
-1
1
√2/2
undefined
11
Multiple Choice
Which of the following is the value of;
(It might be helpful to convert to a degree first.)
tan(−π)
undefined
0
1
-1
12
Multiple Choice
Which of the following is the value of;
(It might be helpful to convert to a degree first.)
tan(67π)?
√3/3
√3
−33
−3
13
The three main trigonometric function values are ratios and ratios have reciprocals.
The reciprocal of sine is COSECANT (CSC).
The reciprocal of cosine is SECANT (SEC)
The reciprocal of tangent is COTANGENT (COT)
14
If sinA = 3/5 then cscA = 5/3
If cosA = 4/5 then secA =5/4
If tanA = 3/4 then cotA = 4/3
15
Multiple Choice
Let's practice some reciprocals...
Given 95 , the reciprocal would be ___.
59
95
Neither of these
16
Multiple Choice
Let's practice some reciprocals...
Given 715 , the reciprocal would be ___.
157
715
Neither of these
17
Multiple Choice
How about this?
Given 180π , the reciprocal would be ___.
π180
180π
Neither of these
18
19
Multiple Choice
What is the reciprocal of the sine (sin) function?
cosecant (csc)
cosine (cos)
secant (sec)
cotangent (cot)
20
Multiple Choice
Cotangent (cot) is the reciprocal of what function?
Cosecant (csc)
Sine (sin)
Cosine (cos)
Tangent (tan)
21
Multiple Choice
What is the reciprocal of the cosine (cos) function?
cosecant (csc)
cosine (cos)
secant (sec)
cotangent (cot)
22
Multiple Choice
Which of the following is the exact value of;
csc(30o).
(Remember csc is the reciprocal of sin.)
2
33
323
2
undefined
23
Multiple Choice
Which of the following is the exact value of;
cot(135o)
(Remember...cot is the reciprocal of tan)
1
-1
2
2
undefined
24
Multiple Choice
Which of the following is the exact value of; csc(2π)
(Remember, csc is the reciprocal of sin)
-1
33
1
2
undefined
25
Multiple Choice
Which of the following is the exact value of;
cot(π)
(Remember, cot is the reciprocal of tan)
-2
33
323
2
undefined
26
Multiple Choice
Not all angles are exact value angles. Consider this.
Given cosθ=−32 the secθ =?
−32
−23
23
32
27
Multiple Choice
Not all angles are exact value angles. Now conside this.
Given sinθ=87 the secθ =?
−87
78
−78
87
Values of cotangent, secant and cosecant
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