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计算:cos15°-sin15°.

题目详情
计算:cos15°-sin15°.
计算:cos15°-sin15°.
▼优质解答
答案和解析

解法一:原式=cos(45°-30°)-cos(45°+30°)

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

=2sin45°·sin30°=2× × = .

解法二:原式= ( cos15°- sin15°)

= (cos45°cos15°-sin45°sin15°)

= cos(45°+15°)= cos60°= .

解法一:原式=cos(45°-30°)-cos(45°+30°)

解法一:原式=cos(45°-30°)-cos(45°+30°)

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

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

=2sin45°·sin30°=2× × = .

=2sin45°·sin30°=2× × = .

解法二:原式= ( cos15°- sin15°)

解法二:原式= ( cos15°- sin15°)

= (cos45°cos15°-sin45°sin15°)

= (cos45°cos15°-sin45°sin15°)

= cos(45°+15°)= cos60°= .

= cos(45°+15°)= cos60°= .