Question Detail

MTH 101 MTH 101 Past Questions Objective Question

Question

The value of cos 15° using surds is:
Options
A √2/2
B √3/2
C (√6+√2)/4
Correct Answer
D (√3+1)/√2
Correct Answer

Option C is the correct answer.

Detailed Explanation

cos 15° = cos (45°-30°) = cos 45° cos 30° + sin 45° sin 30° = (√2/2)(√3/2) + (√2/2)(1/2) = (√6/4) + (√2/4) = (√6+√2)/4.

Hint

The notes indicate answer C.

Question Info