Math, asked by pranshu0079, 8 months ago

Show that
√{2 +√(2 + cos4Φ)} = 2cosΦ​

Answers

Answered by Anonymous
3

√{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(Proved)

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