Question

if cosec A + cot A = p and cosec A - cot A = q then what is the value of pq ?

Answer 1

Hi ,

cosecA + cotA = p ----( 1 )

cosecA - cotA = q ----( 2 )

pq = (cosecA + cotA) (cosecA - cotA )

= cosec² A - cot² A

= 1

Therefore ,

pq = 1

I hope this helps you.

:)

Answer 2

pq = (cosecA+cotA)(cosecA-cotA)                      (a+b)(a-b)=a^2-b^2
     = cosec^2A-cot^2A (trigonometric identity)
     = 1