掌握和差化积公式:八个口诀轻松搞定三角函数转换!

掌握和差化积公式:八个口诀轻松搞定三角函数转换!

1. 正弦、余弦互化:

– sin(a + b) = sin a cos b + cos a sin b

– cos(a – b) = cos a cos b – sin a sin b

– sin(a – b) = sin a cos b + cos a sin b

– cos(a + b) = cos a cos b – sin a sin b

– cos(a – b) = cos a cos b + sin a sin b

2. 正弦、余弦互化逆运算:

– sin(a + b) = sin a cos b – cos a sin b

– cos(a – b) = cos a cos b + sin a sin b

– sin(a – b) = sin a cos b – cos a sin b

– cos(a + b) = cos a cos b + sin a sin b

– cos(a – b) = cos a cos b – sin a sin b

3. 正切、余切互化:

– tan(a + b) = tan a tan b / (1 – cos(a + b))

– tan(a – b) = tan a tan b / (1 + cos(a – b))

– tan(a – b) = tan a tan b / (1 – cos(a – b))

– tan(a + b) = tan a tan b / (1 + cos(a + b))

– tan(a – b) = tan a tan b / (1 – cos(a – b))

4. 正切、余切互化逆运算:

– tan(a + b) = tan a tan b / (1 + cos(a + b))

– tan(a – b) = tan a tan b / (1 – cos(a – b))

– tan(a – b) = tan a tan b / (1 – cos(a – b))

– tan(a + b) = tan a tan b / (1 + cos(a + b))

– tan(a – b) = tan a tan b / (1 + cos(a – b))

这些口诀可以帮助我们在进行三角函数的转换时更加快速和准确。通过不断练习和应用这些口诀,你将能够熟练掌握三角函数的转换,并在实际问题中灵活运用。


掌握和差化积公式:八个口诀轻松搞定三角函数转换!