If sec - - x - 1-4x- prove that sec- - - tan - - 2x or 1-2x -

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Circular Measurement of Angle

If sec ⁡θ = x...

Question

If $s e c θ = x + \frac{1}{4 x}$ , prove that sec⁡ θ + tan θ = 2x or $\frac{1}{2 x}$ .

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sec θ = x + \frac{1}{4 x}

sec θ + tan θ = 2 x

\frac{1}{2 x}

sec θ = x + \frac{1}{4 x}

sec θ + tan θ = 2 x

\frac{1}{(s e c θ - t a n θ)} - \frac{1}{c o s θ} = \frac{1}{c o s θ} - \frac{1}{(s e c θ + t a n θ)}

tan θ + sec θ = 2 x

sec θ = x + \frac{1}{4 x}

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