Question

Prove that (sinO + cosecO)² + (coso seco)² = 7 + tan²O + cot² O​

Answer 1

Answer:

sinO + cosecO)² + (coso seco)² = 7 + tan²O + cot² O​

$sin^2o+cosec^2o+2*sino*cosec o+cos^2o+sec^2o+2*coso*seco$

$1+cosec^2o+2+sec^2o+2$

$cosec^2o+sec^2o+5$

$1+cot^2o+1+tan^2o+5$

$7+cot^2o+tan^2o$

HENCE PROVED