Question

Evaluate:
`(5 cos^2 60^0 + 4 sec^2 30^0 -tan^2 45^0)/(sin^2 30^0+cos^2 30^0)`

Answer 1

`(5 cos^2 60^0 + 4 sec^2 30^0 -tan^2 45^0)/(sin^2 30^0+cos^2 30^0)`

=`(5(1/2)^2+4(2/sqrt(3))^2-(1)^2)/((1/2)^2+(sqrt(3)/2)^2)`

=`((5/4 + (4xx4)/3-1))/((1/4+3/4)`

=`((5/4+16/3-1/1))/((4/4))`

=`(((15+64-12)/12))/((4/4))`

=`((64/12))/((1))`

=`67/12`