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Option 1: the 38th Amendment Act,1975 - This is not the correct option. The 38th Amendment Act, 1975 did not introduce any changes to the preamble of the Indian Constitution.
Option 2: the 40th Amendment Act,1976 - This is not the correct option. The 40th Amendment Act, 1976 also did not introduce any changes to the preamble.
Option 3: the 42nd Amendment Act, 1976 - This is the correct option. The 42nd Amendment Act, 1976 introduced changes to the preamble of the Indian Constitution. It added the words "socialist" and "secular" to the preamble.
Option 4: the 44th Amendment Act, 1979 - This is not the correct option. The 44th Amendment Act, 1979 did not introduce any changes to the preamble of the Indian Constitution.
Therefore, the correct answer is option 3, the 42nd Amendment Act, 1976.