Sectheta+tantheta=m and sectheta-tan theta=n then find mn=1
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secФ + tanФ=m__________(1)
secФ- tanФ=n___________(2)
multiply eq(1) & eq(2) we get
(secФ + tanФ)(secФ- tanФ)=mn
sec²Ф-tan²Ф=mn
from trignometric identities we know that sec²Ф-tan²Ф=1
therefore,mn=1
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