Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

Using the trigonometric formulae, which of the following option is not true?
Options
A \( \cos(360^\circ - a) = \cos a \)
B \( \tan(360^\circ - a) = -\tan a \)
C \( \sin(180^\circ - a) = \sin a \)
D \( \cos(180^\circ - a) = \cos a \)
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

cos(180° - a) = -cos a, not cos a. So D is false.

Hint

Use the unit circle or reference angles: cosine is negative in the second quadrant.

Question Info