Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Which of the following is not the same as tan(t)?
Options
A -tan(-t)
B tan(t+2π)
C tan(t+π)
D tan(t+π/2)
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

tan(t+π/2) = -cot(t), which is not equal to tan(t) in general. The others: -tan(-t) = -(-tan t) = tan t, tan(t+2π) = tan t, tan(t+π) = tan t.

Hint

Recall the periodicity and transformations of tangent function.

Question Info