If cosec A + cot A = m, show that: (m2-1) ÷ (m2 + 1) = cos A

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c o s e c A + cot A = m

\frac{m^{2} - 1}{m^{2} + 1} = cos A

sec A + tan A = m

\frac{m^{2} - 1}{m^{2} + 1} = sin A

c o s e c θ + c o t θ = m

\frac{m^{2} - 1}{m^{2} + 1} = c o s θ

\sqrt{\frac{1 + cos A}{1 - cos A}} = cosec A + cot A

\frac{m^{2} - 1}{m^{2} + 1} = \cos θ

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