Math, asked by nikhil682669, 1 year ago

what is (1-tanA/1-cotA)square and how

Answers

Answered by mjaswinder14mj
0

(1-tanA/1-cotA)^2

=(1+tan^2A-2tanA)/(1+cot^2-2cotA)

=(sec^2A-2tanA)/(cosec^2A-2cosA/sinA)

=(sec^2A-2*sinA/cos A)/(cosec^2A-2cosA/sinA)

=(1/cos^2A-2sinA/cosA)/(1/sin^2A-2cosA/sinA)

=[(1-2sinAcosA)/cos^2A]/[(1-2cosAsinA)sin^2A]

=(1-2sinAcosA)/cos^2A*sin^2A/(1-2sinAcosA)

=sin^2A/cos^2A

=tan^2A

Answered by Mrutyunjay12345
0

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