Asked by Marie
Prove that 1+tan(Theta)/1-tan(Theta) = sec^2(Theta)+2tan(Theta)/1-tan^2(Theta)
If you explain, that would be great (:
If you explain, that would be great (:
Answers
Answered by
Steve
(1+tan)/(1-tan)
multiply top and bottom by 1+tan
(1+tan)^2 / (1-tan)(1+tan)
(1 + 2tan + tan^2)/(1-tan^2)
now, since sec^2 = 1+tan^2,
(sec^2 + 2tan)/(1-tan^2)
multiply top and bottom by 1+tan
(1+tan)^2 / (1-tan)(1+tan)
(1 + 2tan + tan^2)/(1-tan^2)
now, since sec^2 = 1+tan^2,
(sec^2 + 2tan)/(1-tan^2)
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