sin(α?3π)+cos(π?α) |
sin(?α)?cos(π+α) |
=
sin(?4π+π+α)?cosα |
?sinα+cosα |
=
sin(π+α)?cosα |
?sinα+cosα |
?sinα?cosα |
?sinα+cosα |
=
sinα+cosα |
sinα?cosα |
tanα+1 |
tanα?1 |
又tan(5π+α)=m,∴tan(π+α)=tanα=m,∴原式=
tanα+1 |
tanα?1 |
m+1 |
m?1 |
故答案為:
m+1 |
m?1 |
sin(α?3π)+cos(π?α) |
sin(?α)?cos(π+α) |
sin(α?3π)+cos(π?α) |
sin(?α)?cos(π+α) |
sin(?4π+π+α)?cosα |
?sinα+cosα |
sin(π+α)?cosα |
?sinα+cosα |
?sinα?cosα |
?sinα+cosα |
sinα+cosα |
sinα?cosα |
tanα+1 |
tanα?1 |
tanα+1 |
tanα?1 |
m+1 |
m?1 |
m+1 |
m?1 |