Question

1/4 (cot⁴30° - cosec⁴60° ) + 3/2 ( sec²45° -tan²30° ) -5 cos²60°​

Answer 1

Answer:

3.3888889

Step-by-step explanation:

cot30=√3

cosec60=2/√3

sec45=√2

tan30=1/√3

cos60=1/2

putting them in question,

1by4((√3)^4-(2/√3)^2)+3/2[((√2)^2-(1/√3)^2]-5(1/2)^2

= 1/4(9-4/9)+3/2(2-1/3)-5/4

= 1/4(81-4/9)+3/2(6-1/3)-5/4

= 77/36+5/2-5/4

by taking LCM

77+90-45÷36

= 122/36=61/18 = 3.38888889