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Please can someone prove this equation

Please can someone prove this equation-example-1

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Answer:

see explanation

Explanation:

Using the trigonometric identity

sin²x + cos²x = 1

Consider the left side

2cos²A - 1 ← replace 1 by sin²A + cos²A

= 2cos²A - ( sin²A + cos²A)

= 2cos²A - sin²A - cos²A

= cos²A - sin²A = right side ⇒ verified



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