Question

sin 75° cos 15° + cos 75° sin 15° / cot 5° cot 30° cot 35° cot 85°

Answer 1

=> cos²15° + sin²15° / tan 85° cot 85° cot 30° tan 45°
=> 1/ √3 x 1 
=> 1/√3

we changed the values by the formula : ( sinФ = cos(90-Ф) )
                                                                  cot 30 = √3  and tan45 = 1

hope it helped