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Grade 10Trigonometry

seca+tana=p
show that seca-tana=1/p
ppppppppppppppllllllllllllllleeeeeeeeeeeeaaaaaaasssssssssseeeeeeeee help

Profile image of Yusuf Abbasi
10 Years agoGrade 10
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1 Answer

Profile image of Vijay Mukati
ApprovedApproved Tutor Answer10 Years ago
Multiply the given relation by (seca – tana) both the sides and apply the formula (a-b)(a+b) = a2-b2..
On solving this, we will have sec2a – tan2a = p*(seca – tana) .
Now sincesec2a – tan2a = 1. Thereforeseca-tana=1/p.