Question

5cos square 30+ 4cos square 60-tan square 45 whole divided by sin square 30 + cos square 30

Answer 1

=5cos²30+4cos²60-tan²45/sin²30+cos²30
=5(√3/2)²+4(1/2)²-(1)²/(1/2)²+(√3/2)²
=5(3/4)+4(1/4)-1/1/4-3/4
Here, 4(1/4) comes 1 so plus one and minus one gets cancelled and 1/4 minus 3/4 comes -2/4 which comes -1/4
=15/4/-1/4(reciprocal)
=15/4.-4/1
Here, 4 gets cancelled and comes -1 so the answer is
=-15