If sec alpha=x+1/4x prove that sec alpha+ tan alpha = 2x or 1/2x
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tan2θ=sec2θ−1
=(x+4x1)2−1
=(x+4x1)2
∴tanθ=±(x−4x1)
=(x−4x1)or(4x1−x)
∴secθ+tanθ is either 2x or 2x1
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