Question

if cosec ø + cot ø =p
then prove ; cosec ø - cot ø =1/p

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Answer 1

Step-by-step explanation:

cosec$ + cot$ = p (1)

according to identity

cosec^2$ - cot^2$ = 1

know it is in the form of

a^2 -b^2 = (a+b)(a-b)

(cosec$+cot$)(cosec$-cot$)=1

from (1)

(p)(cosec$-cot$)=1

:.cosec$-cot$=1/p

! hence proved