Question

Prove that √2+√2+2cos4∅=2cos∅

Answer 1

Step-by-step explanation:

√{2+√(2+2cos4A)}

=√[2+√{2+2(2cos²2A-1)}]

=√{2+√(2+4cos²2A-2)}

=√(2+√4cos²2A)

=√(2+2cos2A)

=√{2+2(2cos²A-1)}

=√(2+4cos²A-2)

=√4cos²A

=2cosA.

Hence proved.

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