Math, asked by diksha4259, 1 year ago

1/tan3A-tanA-1/cot3A- cotA=cot2A

Answers

Answered by sandy1816

Step-by-step explanation:

1/(sin3A/cos3A)-(sinA/cosA)-1/(cos3A/sinA)-(cosA/sinA/

=cos3AcosA/sin3AcosA-cos3AsinA -sin3AsinA/sinAcos3A-cosAsin3A

=cos3AcosA/sin(3A-A)-sin3AsinA/sin(A-3A)

=cos3AcosA/sin2A+sin3AsinA/sin2A

=cos3AcosA+sin3AsinA/sin2A

=cos(3A-A)/sin2A

=cos2A/sin2A

=cot2A

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