Find an expression equivalent to (1-sin^2 θ) / (1-cos^2 θ)?

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Answer 1 · 2018-03-15T08:46:30

${cot}^{2}$ $cot^2$ $θ$ $theta$

1- ${sin}^{2}$ $sin^2$ $θ$ $theta$ = ${cos}^{2}$ $cos^2$ $θ$ $theta$

1 - ${cos}^{2}$ $cos^2$ $θ$ $theta$ = ${sin}^{2}$ $sin^2$ $θ$ $theta$

$({cos}^{2}$ $(cos^2$ $θ$ $theta$ $/$ $/$ ${sin}^{2}$ $sin^2$ $θ$ $theta$ ) = $1$ $1$ / ${tan}^{2}$ $tan^2$ $θ$ $theta$

= ${cot}^{2}$ $cot^2$ $θ$ $theta$