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If cotθ = \(\frac{3}4\), prove that \(\sqrt{\frac{secθ-cosecθ}{secθ+cosecθ}}\) = \(\frac{1}{\sqrt{7}}\)

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cotθ = \(\frac{3}4\)

⇒ sinθ = \(\frac{4}5\)

or cosecθ = \(\frac{5}4\)

and cosθ = \(\frac{3}5\)

or secθ = \(\frac{5}3\)

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