Root under2+root under2+2cos4theta
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=> 2+2cos4θ=4(cos
2
2θ)
=> 2cos4θ=4(cos
2
2θ)−2
=> 2cos4θ=2(2cos
2
2θ−1)
=> 2cos4θ=2(cos4θ)
=> LHS=RHS
Hence proved
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