tan^2 x/2 +1 = 2(cscx)(tan x/2)

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1 Answer

tan^2 x/2 +1 = 2(cscx)(tan x/2)

LHS=tan^2 x/2 +1

=sin^2 x/2/cos^2 x/2   +1

=(sin^2 x/2 +cos^2 x/2)/cos^2 x/2

=1/cos^2 x/2=sec^2 x/2

 

RHS=2(cscx)(tan x/2)

=2/sinx     tan x/2

=(2/2sin x/2 cos x/2)(sin x/2/cos x/2)

=1/cos^2 x/2=sec^2 x/2

 

LHS=RHS=sec^2 x/2

by Level 8 User (32.3k points)

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