Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Which of the following is not correct?
Options
A sin(-x) = -sin(x)
B sec(-x) = sec(x)
C sin(π+x) = sin(x)
Correct Answer
D cos(π-x) = -cos(x)
Correct Answer

Option C is the correct answer.

Detailed Explanation

sin(π+x) = -sin(x), not sin(x). So option C is incorrect. The others are correct: sin(-x) = -sin(x) (odd function), sec(-x) = sec(x) (even function), cos(π-x) = -cos(x) is correct.

Hint

Recall the trigonometric identities for negative angles and periodicity.

Question Info