Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The exact value of \(\cos 35^\circ \cos 25^\circ - \sin 35^\circ \sin 25^\circ\)
Options
A \(\frac{1}{2}\)
Correct Answer
B \(\sqrt{3}\)
C \(\frac{1}{4}\)
D \(\frac{\sqrt{3}}{2}\)
Correct Answer

Option A is the correct answer.

Detailed Explanation

(\cos A \cos B - \sin A \sin B = \cos(A+B) = \cos 60^\circ = \frac{1}{2}).

Hint

Recognize the cosine addition formula: \(\cos(A+B) = \cos A \cos B - \sin A \sin B\).

Question Info