Объяснение:
−
1+sinβ
cosβ
=
(1−sinβ)(1+sinβ)
cosβ(1+sinβ)−cosβ(1−sinβ)
1−sin
2
β
cosβ+cosβ⋅sinβ−cosβ+cosβ⋅sinβ
cos
2cosβ⋅sinβ
2sinβ
=2tanβ
Объяснение:
−
1+sinβ
cosβ
=
(1−sinβ)(1+sinβ)
cosβ(1+sinβ)−cosβ(1−sinβ)
=
=
1−sin
2
β
cosβ+cosβ⋅sinβ−cosβ+cosβ⋅sinβ
=
cos
2
β
2cosβ⋅sinβ
=
=
cosβ
2sinβ
=2tanβ