If tan -12- find the value of cosec 2 - 2 -cosec 2 - 2 -

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Calculating Heights and Distances

If tan θ=12, ...

Question

If $\tan θ = \frac{1}{\sqrt{2}}$ , find the value of $\frac{{cosec}^{2} θ - \sec^{2} θ}{{cosec}^{2} θ + \cot^{2} θ}$ .

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\frac{1}{\sqrt{3}}

\frac{\cos e c^{2} θ - s e c^{2} θ}{\cos e c^{2} θ + s e c^{2} θ}

\frac{1}{2}

- \frac{1}{2}

\cot θ = \sqrt{3}

\frac{\cos e c^{2} θ + \cot^{2} θ}{{cosec}^{2} θ - \sec^{2} θ}

If \tan θ = \frac{1}{\sqrt{5}}, then write the value of \frac{({cosec}^{2} θ - \sec^{2} θ)}{({cosec}^{2} θ + \sec^{2} θ)} .

tanθ = \frac{1}{\sqrt{7}}

\frac{{cosec}^{2} θ - \sec^{2} θ}{{cosec}^{2} θ + \sec^{2} θ}

\frac{1}{\sqrt{7}}

(\frac{{cosec}^{2} θ + \sec^{2} θ}{{cosec}^{2} θ - \sec^{2} θ}) = \frac{4}{3} .

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