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Exact values with given information
Establish Identities
 sin 2 2sin cos  
3
5 2Given cos , 0 
   
 Find sin 2
  2 2
cos 2 cos sin   
  2
cos 2 2cos 1  
  2
cos 2 1 2sin  
3
5 2Given cos , 0 
   
 Find cos 2
312
5 2Given tan , 
    
 Find cos 2 Find sin 2
3
2Given cot , cos 0   
 Find cos 2 Find sin 2
 
2
2
sec
sec 2
2 sec





  2
2tan
tan 2
1 tan





 
2
cot 1
cot 2
2cot





p. 490 # 1, 4 - 6, 7 - 13 odd
(a,b), 36 - 40 even
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6.5.1 double angle formulas

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6.5.1 double angle formulas

  1. 1. Exact values with given information Establish Identities
  2. 2.  sin 2 2sin cos  
  3. 3. 3 5 2Given cos , 0       Find sin 2
  4. 4.   2 2 cos 2 cos sin      2 cos 2 2cos 1     2 cos 2 1 2sin  
  5. 5. 3 5 2Given cos , 0       Find cos 2
  6. 6. 312 5 2Given tan ,        Find cos 2 Find sin 2
  7. 7. 3 2Given cot , cos 0     Find cos 2 Find sin 2
  8. 8.   2 2 sec sec 2 2 sec     
  9. 9.   2 2tan tan 2 1 tan     
  10. 10.   2 cot 1 cot 2 2cot     
  11. 11. p. 490 # 1, 4 - 6, 7 - 13 odd (a,b), 36 - 40 even

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