Question

if cosectheta +cotteta =m then show that m²-1/2m=cotteta​

Answer 1

Answer:

3.26×10

3.26×10=32.6

Answer 2

$cosecx + cotx = m \: \: \: \: \: \: \: ...(i) \\ \\ we \: know \\ \\ 1 + {cot}^{2} x = {cosec}^{2} x \\ {cosec}^{2} x - {cot}^{2} x = 1 \\ (cosecx + cotx)(cosecx - cotx) = 1 \\ m(cosecx - cotx) = 1 \: \: \: \: \: \: ...(from \: i) \\ cosecx - cotx = \frac{1}{m} \: \: \: \: \: \: \: \: \: \: \: ...(ii) \: \\ \\ subtracting \: ii \: from \: i \\ \\ cosecx + cotx - (cosecx - cotx) = m - \frac{1}{m} \\ cosecx + cotx - cosecx + cotx = \frac{ {m}^{2} - 1 }{m} \\ 2cotx = \frac{ {m}^{2} - 1 }{m} \\ cotx = \frac{ {m}^{2} - 1 }{2m}$

Hence Proved!