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sin
tan
cos




cos
cot
sin




1
csc
sin



1
sec
cos



1
cot
tan



2 2
sin cos 1  
2 2
tan 1 sec  
2 2
1 cot csc  
 sin sin   
 cos cos  
 tan tan   
 csc csc   
 sec sec  
 cot cot   
cos csc  sin sec 
1
cos
sin



cos
sin


1
sin
cos



sin
cos


cos 1 sin
by
1 sin 1 sin
 
 

 
 
 
 
1 sincos
1 sin 1 sin

 


 
 
2
cos 1 sin
1 sin
 



 
2
cos 1 sin
cos
 


1 sin
cos



1 1
1 sin 1 sin 

 
 
 
   
 
 
1 sin 1 sin1 1
1 sin 1 sin 1 sin 1 sin
 
   
 
  
   
2 2
1 sin 1 sin
1 sin 1 sin
 
 
 

 
2
2
1 sin 
2
2
cos 
   2
cot 1 cot 1 csc
cot
  

  
2 2
cot 2cot 1 csc
cot
  

  
 2 2
cot 2cot 1 1 cot
cot
  

   
2 2
cot 2cot 1 1 cot
cot
  

   
2cot
cot


2
2
2
5cos 6cos 1
cos 2cos 1
 
 
 
 
  
  
5cos 1 cos 1
cos 1 cos 1
 
 
 
 
 
 
5cos 1
cos 1




5cos 1
cos 1




p. 471 # 1, 2, 4 - 6, 9 - 18

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6.3.1 trig identities

  • 1.
  • 4. 2 2 sin cos 1   2 2 tan 1 sec   2 2 1 cot csc  
  • 5.  sin sin     cos cos    tan tan     csc csc     sec sec    cot cot   
  • 6. cos csc  sin sec  1 cos sin    cos sin   1 sin cos    sin cos  
  • 7. cos 1 sin by 1 sin 1 sin              1 sincos 1 sin 1 sin          2 cos 1 sin 1 sin        2 cos 1 sin cos     1 sin cos   
  • 8. 1 1 1 sin 1 sin                 1 sin 1 sin1 1 1 sin 1 sin 1 sin 1 sin                2 2 1 sin 1 sin 1 sin 1 sin          2 2 1 sin  2 2 cos 
  • 9.    2 cot 1 cot 1 csc cot        2 2 cot 2cot 1 csc cot         2 2 cot 2cot 1 1 cot cot         2 2 cot 2cot 1 1 cot cot         2cot cot   2
  • 10. 2 2 5cos 6cos 1 cos 2cos 1               5cos 1 cos 1 cos 1 cos 1             5cos 1 cos 1     5cos 1 cos 1    
  • 11. p. 471 # 1, 2, 4 - 6, 9 - 18