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6.2 INVERSE TRIG FUNCTIONS
Inverse Cosecant, Secant, and Cotangent
INVERSE COSECANT
1
cscy x
  | 1x x 
 2 2| , 0y y y 
  
INVERSE SECANT
1
secy x
  | 1x x 
 2| 0 ,y y y 
  
INVERSE COTANGENT
1
coty x
  |x x
 | 0y y  
FIND THE EXACT VALUE
1
csc 2
2 1
1
4

 1
4csc 2 

 1 1
42
sin 

0.79 0.79
FIND THE EXACT VALUE
 1 2 3
3csc 
2 3 3
3
3

 
 1 2 3
3 3csc  
 
 1 3
32 3
sin  
 
1.05 1.05  
FIND THE EXACT VALUE
1
sec 2
2
1
3
3

 1
3sec 2 

 1 1
2 3cos 

1.05 1.05
FIND THE EXACT VALUE
 1
sec 1

 1,0

 1
sec 1 
 
 1 1
1cos 
 
3.14 3.14
FIND THE EXACT VALUE
 1
cot 1
2
1
1
4

  1
4cot 1 

 1 1
42
cos 

0.79 0.79
FIND THE EXACT VALUE
 1 3
3cot 
2 3
3
3
2
3

  1 3 2
3 3cot  

 1 3 2
32 3
cos  

2.09 2.09
FIND THE APPROXIMATE VALUE
 1 6
2csc 
   
222
2 6x   
6
2
 1 2
6
sin 

2
4 6x  
2
2x 
2x  
2
0.96 
 1 2
2
tan 
 0.96 
FIND THE APPROXIMATE VALUE
 1 10
3sec 
   
222
3 10x   
10
3
 1 3
10
cos 

2
3 10x  
2
7x 
7x  
7
2.82
FIND THE APPROXIMATE VALUE
 1 7
2cot 
   
2 2 2
7 2 r  
7
2
 1 7
11
cos 

2
7 4 r 
2
11 r
11 r 
2.49
11
ASSIGNMENT
p. 465 # 37 - 56

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6.2.1 other inverse trig functions

  • 1. 6.2 INVERSE TRIG FUNCTIONS Inverse Cosecant, Secant, and Cotangent
  • 2. INVERSE COSECANT 1 cscy x   | 1x x   2 2| , 0y y y    
  • 3. INVERSE SECANT 1 secy x   | 1x x   2| 0 ,y y y    
  • 4. INVERSE COTANGENT 1 coty x   |x x  | 0y y  
  • 5. FIND THE EXACT VALUE 1 csc 2 2 1 1 4   1 4csc 2    1 1 42 sin   0.79 0.79
  • 6. FIND THE EXACT VALUE  1 2 3 3csc  2 3 3 3 3     1 2 3 3 3csc      1 3 32 3 sin     1.05 1.05  
  • 7. FIND THE EXACT VALUE 1 sec 2 2 1 3 3   1 3sec 2    1 1 2 3cos   1.05 1.05
  • 8. FIND THE EXACT VALUE  1 sec 1   1,0   1 sec 1     1 1 1cos    3.14 3.14
  • 9. FIND THE EXACT VALUE  1 cot 1 2 1 1 4    1 4cot 1    1 1 42 cos   0.79 0.79
  • 10. FIND THE EXACT VALUE  1 3 3cot  2 3 3 3 2 3    1 3 2 3 3cot     1 3 2 32 3 cos    2.09 2.09
  • 11. FIND THE APPROXIMATE VALUE  1 6 2csc      222 2 6x    6 2  1 2 6 sin   2 4 6x   2 2x  2x   2 0.96   1 2 2 tan   0.96 
  • 12. FIND THE APPROXIMATE VALUE  1 10 3sec      222 3 10x    10 3  1 3 10 cos   2 3 10x   2 7x  7x   7 2.82
  • 13. FIND THE APPROXIMATE VALUE  1 7 2cot      2 2 2 7 2 r   7 2  1 7 11 cos   2 7 4 r  2 11 r 11 r  2.49 11