三角的计算求值(1).sin7°+cos15°sin8°-----------------------cos7°+sin
1个回答

(1)sin(15-8)+cos15sin8/(cos(15-8)+sin15sin8)

=sin15cos8-cos15sin8+cos15sin8/cos15cos8+sin15sin8-sin15sin8

=sin15cos8/cos15sin8

=tan15

(2)sin20=sin(30-10)

所以 (2cos10°—sin20°)/sin70°

=(2cos10°—sin(30-10))/sin70°

=(2cos10-(sin30cos10-cos30sin10))/sin70

=(2cos10-1/2cos10+根号3/2sin10)/sin70

=(3/2sin10+根号3/2sin10)/sin70

=根号3(根号3/2cos10+1/2sin10)/sin70

=根号3sin(10+60)/sin70

=根号3

第一题分母可能是减 否则无法化简