2tan(45°-α)]/[1-tan²(45°-α)]*[(sinα*cosα)/(cos²α-sin²α)]

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/10 02:10:41
2tan(45°-α)]/[1-tan²(45°-α)]*[(sinα*cosα)/(cos²α-sin²α)]

2tan(45°-α)]/[1-tan²(45°-α)]*[(sinα*cosα)/(cos²α-sin²α)]
2tan(45°-α)]/[1-tan²(45°-α)]*[(sinα*cosα)/(cos²α-sin²α)]

2tan(45°-α)]/[1-tan²(45°-α)]*[(sinα*cosα)/(cos²α-sin²α)]
2tan(45°-α)]/[1-tan²(45°-α)]*[(sinα*cosα)/(cos²α-sin²α)]
=tan[2(45°-α)](1/2*sin2α)/(cos2α)
=cot2α(1/2*sin2α)/(cos2α)
=1/2