Show that sqrt{[1+tan^2x]/[1+cot^2x]}=tanx

[From: ] [author: ] [Date: 11-12-17] [Hit: ]

sqrt{[1+tan^2x]/[1+cot^2x]}=tanx

= sqrt{[sec^2x]/[cosec^2x]}

= secx/cosecx

= 1/cosx*sinx

= tanx

Is it acceptable? Thank You.

1/cos x * sin x could be more readable if were 1/cos x (sin x) which is sin x/cos x = tan x. otherwise it is correct.

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