Question

if cosecQ + cotQ = m and cosecQ - cotQ = n prove that mn = 1

Answer 1

Hii !!

Cosec Q + Cot Q = m

And,

Cosec Q - Cot Q = n

To Prove :- mn = 1

LHS = mn

=> ( Cosec Q + CotQ ) ( Cosec Q - CotQ )

=> ( Cosec²Q) - ( Cot²Q) [( a + b) (a - b )]

=> 1

Hence,

MN = 1 ......Proved......

Answer 2

HEY THERE!!!

Question:

if cosecQ + cotQ = m and cosecQ - cotQ = n prove that mn = 1

Method Of Solution:

Multiplication of numbers

MN= 1

Substitute the Given value in Equation!

mn

= (cosec∅+cot∅) (cosec∅-cot∅)

= cosec∅(cosec∅-cot∅) + cot∅(cosec∅-cot∅)

= cosec²∅-cosec∅.cot∅+cosec∅.cot∅ - cot²∅

= cosec²∅- cot²∅

= 1



Here, used identity!

(cosec²∅-cot²∅)

= 1

Here, It's Proved!