Question

If cosec theta + cot theta =k. then what is the value of cosec theta- cot theta

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Answer 1

ANSWER:

$\c</u></strong><strong><u>o</u></strong><strong><u>s</u></strong><strong><u>e</u></strong><strong><u>cθ - \cotθ = \frac{1}{k}$

Answer 2

given

$cosec \theta + cot \theta = k$

We know

${cosec}^{2} \theta - {cot}^{2} \theta = 1$

so

$(cosec \theta - cot \theta)(cosec \theta + cot \theta) = 1 \\ \\ (cosec \theta - cot \theta)k = 1 \\ \\ cosec \theta - cot \theta = \frac{1}{k}$