Prove that: 1- 2sin²(45°-α) = 2sinα.cosα

 Answer:
This question is also very easy to solve if you know the two basic things: one is the formula of Trigonometric Ratios of Compound Angles and the other is how to solve algebraic expressions. On a side note, the value of RHS i.e. 2 sinA.cosA = sin2A, so, if any way you can get the LHS equal to sin2A then also you can prove your answer. Now, let me give you an idea of formulas of Compound Angles, if you don't have already!

Therefore, if you can understand these primary concepts then you can solve this question within 2 minutes in Trigonometry of Mathematics.

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