Question Detail

MTH 101 MTH 101 Past Questions Objective Question
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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 \( \sqrt{3} \)
Correct Answer

Option A is the correct answer.

Detailed Explanation

Using the identity cos A cos B - sin A sin B = cos(A+B). So cos35° cos25° - sin35° sin25° = cos(35°+25°) = cos60° = 1/2.

Hint

Recognize the formula for cosine of sum of angles: cos(A+B) = cosA cosB - sinA sinB.

Question Info

Course: MTH 101
Topic: MTH 101 Past Questions
Type: Objective
Difficulty: Not specified
Question 555 of 696
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