Question

2cosec2 30 cot2 67 what is the value of this ??

Answer 1

2Cosec^2 30 Cot^2 67

It can also be written as

(2 / Sin^2 30 ) * (Cos^267 / Sin^2 67)

We know that
                                Sin 30  = 1 / 2 = 0.5
and also                  Cos 67 = 0.3907
and                          Sin 67 = 0.9205

Thus putting these values,

                         (2 / Sin^2 30) * (Cos^2 67 /Sin^ 67)
                       = (2 / 0.25) * (0.3907 / 0.9205)^2
                        = 8 * 0.1526 * 0.8473
                     = 1.034