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Trigonometry - Trigonometric identities.
Test Yourself 2 - Solutions.


 

Simplify the following trigonometric identities:

Basic substitutions. 1. 2.
  3. 4.
     
     
     
Complementary angles.

9.

10.
     

 

   
Pythagorean relationships.

23.

24.
  25. 26.

Prove the following trigonometric identities:

Basic substitutions
(change of definition).
15.  
  17.  
  19.  
  21.  
Pythagorean relationships. 23.

24.

    tan x - tan x sin2 x = sin x cos x
  2 sec2α - 3 = 2 tan2α - 1  
  25.
     
     
Mixed relationships.