Basic formulas of Trigonometry:

TABLE 1:

•  sin (A + B) = sin A cos B + cos A sin B
•  sin (A - B) = sin A cos B - cos A sin B
•  cos (A + B) = cos A cos B - sin A sin B
•  cos (A - B) = cos A cos B + sin A sin B
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•  sin (A + B) sin (A - B) = sin² A - sin² B = cos² B - cos² A.
•  cos (A + B) cos (A - B) = cos² A - sin² B = cos² B - sin² A.
•  sin2A = 2sinA cosA = 
•  cos2A = cos²A - sin²A = 1-2 sin²A = 2cos²A-1 = 
•  tan2A = 
•  sin3A = 3sinA - 4sin³A = 4sin(60° - A) sinAsin(60° + A)
•  cos3A = 4cos³A - 3cosA = 4cos(60° - A) cosAcos(60°+A)
•  

 TABLE 2

• sinA + SinB = 
• sinA - SinB = 
• cosA + cosB = 
• cosA - cosB = 
• tanA + tanB =              
• 2sinAcosB = sin(A + B) + sin (A - B)
• 2cosAsinB = sin(A + B) - sin (A - B)
• 2cosAcosB = cos(A + B) + cos(A - B)
• 2sinAsinB = cos(A - B) - cos (A + B)

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