Math, asked by Anonymous, 1 year ago

prove that sin3@/sin@-cos3@/cos@=2

Answers

Answered by HappiestWriter012
8
L.H.S


=sin3A/sinA - cos3A/cosA

= 3sinA - 4 sin³A / sinA - 4cos³A-3cosA/cosA

=sinA(3-4sin²A)/sinA - cosA(4cos²A-3)/cosA

=3-4sin²A-(4cos²A-3)

= 3-4sin²A-4cos²A+3

=6-4(sin²A+cos²A)

=6-4

=2

=R.H.S
Similar questions