5 cos2 60 degree + 4 sec2 30 degree - tan 2 45 degree / sin2 30 degree + sin2 60 degree
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5*2*1/2 + 4*2*2/√3 -2*1 divided by 2*1/2 +2*√3/2
=5+16/√3-2 divided by 1+√3
=5√3+16-2√3 divided by 1+√3
=3√3+16 divided by 1+√3
Then by rationalising we get
7-13√3 divided by -2
=13√3 -7 divided by 2
Note : we have to rationalize because the denominator should not be a imaginary(complex) number
=5+16/√3-2 divided by 1+√3
=5√3+16-2√3 divided by 1+√3
=3√3+16 divided by 1+√3
Then by rationalising we get
7-13√3 divided by -2
=13√3 -7 divided by 2
Note : we have to rationalize because the denominator should not be a imaginary(complex) number
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