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(i)sin²15+sin²75/cos²36+cos²54
=sin²15+cos²15/sin²54+cos²54
(since sin²A+cos²A=1)
=1/1
=1
(ii)sin5.cos85+sin85.cos5
This is in the form sin(A+B)=sinAcosB+cosAsinB
Hence
sin5.cos85+sin85.cos5=sin(5+85)
=sin90
=1
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