Tips in Proving Identities:

1) Always start from the more complex side.

2) Express everything into Sine and Cosine.

3) Combine terms into a single fraction.

4) Use Pythagorean Identities to transform between sin²x and cos²x.

5) Know when to apply Double Angle Formula (DAF).

6) Know when to apply Sum/Difference Formula (AF).

7) Good Old Expand/ Factorize/ Simplify/ Cancelling. 

8) DON'T CROSS MULTIPLY.

9) Do NOT try to Prove a Question that says “Solve”! 

10) PRACTICE,  PRACTICE,  PRACTICE,

GENERAL SOLUTIONS OF TRIGONOMETRIC EQUATIONS:

1) sin𝛳 ;   𝛳 =  n𝝅 + ( - 1 )n 𝞪 

2) cos𝛳 ;   𝛳 =  2n𝝅 ± 𝞪 

3) tan𝛳 ;   𝛳 =  𝞪 + n𝝅