The value of cos15°-sin15° is equal to
12
-12
0
Explanation for correct option
Given trigonometric function is cos15°-sin15°
cos15°=cos45°-30°=cos30°cos45°+sin30°sin45°=32·12+12·12∵cosA-B=cosAcosB+sinAsinBsin15°=sin45°-30°=cos30°sin45°-sin30°cos45°=32·12-12·12∵sinA-B=sinAcosB-cosAsinB∴cos15°-sin15°=3+122-3-122=12Hence, the correct option is OptionA