SOLUTION: Prove that the following equations is an Identity (1- tanA)^2= sec^2A-2tanA

Algebra.Com
Question 519689: Prove that the following equations is an Identity
(1- tanA)^2= sec^2A-2tanA

Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
Prove that the following equations is an Identity
(1- tanA)^2= sec^2A-2tanA
**
starting with left side
(1-tan)^2=1-2tan+tan^2
identity: sec^2=tan^2+1
1-2tan+tan^2=sec^2-2tan
verified: left side=right side

RELATED QUESTIONS

prove the following identity:... (answered by jsmallt9)
complete the identity -1+sec^2a ---------- (over)... (answered by stanbon)
Prove that... (answered by robertb)
Prove that the following equations is an Identity 1/1-cos C + 1/1+cos C = 2csc^2... (answered by lwsshak3)
Prove that the following statement is an identity. 1) (sin x + tan x)/ (1+sec x) = sin (answered by Edwin McCravy)
(i) Show that [(cosA+sinA)^2]/[sec^2(A)+2tanA]=cos^2(A) (ii) Hence find all values of A, (answered by sandeepvijay)
prove double angles identity:... (answered by Alan3354)
Please help to Prove that (cot^2A+sec^2A)/(tan^2A+cosec^2A) =... (answered by anand429)
Prove that : 1. (cscA-1)/(cscA+1) = (1-sinA)/(1+sinA) 2. (secA/cscA)+(sinA/cosA) =... (answered by Edwin McCravy)