Dr. J's Maths.com
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Trigonometric functions - Integration - sin2x and cos2x formats.
Test Yourself 1.


 

The results required for these further identities are:

sin2 nx = ½(1 - cos2nx)

cos2 nx = ½(1 + cos2nx)

sin2x

1.

2. Determine .
  3.  
  5.  
  7. Evaluate .
Answer.1/2(π/3-√3/4).
 
  9.  
  11.  
cos2x - direct. 13.  
  15.  
  17.  
  19.  
  21.  
 

23. Using the substitution x = sin t or otherwise, evaluate

.

Problems. 25.