Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The exact value of cos35° cos25° - sin35° sin25° is:
Options
A 1/2
Correct Answer
B √3
C 1/√3
D √3/2
Correct Answer

Option A is the correct answer.

Detailed Explanation

Using cosine addition formula: cos(A+B) = cosA cosB - sinA sinB. Here A=35°, B=25°, so cos35° cos25° - sin35° sin25° = cos(35°+25°) = cos60° = 1/2.

Hint

Recognize the cosine addition formula.

Question Info