Find The Value of The Following Term ?

Answer: (2) 4

Explanation:-

Sin²22⁰ + sin²68⁰ + cot²30⁰
= sin²22⁰ + sin² (90 – 22)^o + cot²30^o
= sin²22^o + cos²22^o + cot²30^o              [sin(90 – A) = cos A]
= 1 + cot²30^o                                       [sin²A + cos²A = 1]
= 1 + (sqrt.3)²                                       (cot30^o = sqrt.3)
= 1 + 3
= 4

Hence, the answer is (2) 4.