The value of sec²28° - cot²62° + sin²60° + cosec²30° is equal to:

A. $$\frac{7}{2}$$

B. $$3$$

C. $$\frac{{19}}{4}$$

D. $$\frac{{23}}{4}$$

Answer: Option D

Solution(By Examveda Team)

$$\eqalign{ & {\sec ^2}{28^ \circ } - {\cot ^2}{62^ \circ } + {\sin ^2}{60^ \circ } + {\text{cose}}{{\text{c}}^2}{30^ \circ } \cr & = {\sec ^2}{28^ \circ } - {\tan ^2}{28^ \circ } + {\sin ^2}{60^ \circ } + {\text{cose}}{{\text{c}}^2}{30^ \circ } \cr & = 1 + {\left( {\frac{{\sqrt 3 }}{2}} \right)^2} + {\left( 2 \right)^2} \cr & = 1 + \frac{3}{4} + 4 \cr & = \frac{{23}}{4} \cr} $$