Question

if cosec theta + cot theta = 1/2 then, cosec theta - cot theta = ?​

Answer 1

Answer:

Given,

$cosec \: \theta \: + cot \: \theta \: \: = \frac{1}{2} \\ cosec \: \theta \: + cot \: \theta \: \: = \: to \: \: find \\ \\ we \: know \: that \: \\ \: \: \: \: \: \: \: \: \: \: \: \: {cosec}^{2} \: \theta \: - {cot}^{2} \: \theta \: = 1 \\ \implies \: (cosec \: \theta \: + cot \: \theta \: )(cosec \: \theta \: - cot \: \theta \: ) = 1 \\ \implies \: \frac{1}{2} \times (cosec \: \theta \: - cot \: \theta \: ) = 1 \\ \implies \: (cosec \: \theta \: - cot \: \theta \: ) = 2$