sinπ/24-cosπ/24等于多少
1个回答

sinπ/24-cosπ/24

=sin15°-cos15°

=-【cos15°-sin15°】

= -【cos(45°- 30°) - sin(45°- 30°)】

=-【 cos45°cos30°+ sin45°sin30°- sin45°cos30°+ cos45°sin30°】

=-【 √2/2 * cos30°+ √2/2 * sin30°- √2/2 * cos30°+ √2/2 * sin30°】

=-【 √2/2 * ( cos30°+ sin30°- cos30°+ sin30°)】

=- √2/2 * ( 2 * sin30°)

= -√2/2 * ( 2 * 1/2)

= √2/2