若tan(θ/2)=5/7,则tanθ=?

来源:学生作业帮助网 编辑:作业帮 时间:2024/07/12 17:12:49
若tan(θ/2)=5/7,则tanθ=?
xRKN0JTJ%賟|㄄OH(K '`PĆ=h ^'$@4荻@giq1-C?UdݿfQ2<ΜMduܪ];Kmj[ӥ܅ʳll50,n_'C1*~]]+ Ԓq RaL0וZ*e1rƔj?R TROyvbX克ҋx˜ eJ("ы%a}K=O3`_O*v`K(,kNίQVn?̓_~O

若tan(θ/2)=5/7,则tanθ=?
若tan(θ/2)=5/7,则tanθ=?

若tan(θ/2)=5/7,则tanθ=?

tanθ

=2tan(θ/2)/[1-tan²(θ/2)]

=2×5/7/[1-(5/7)²]

=10/7 / (24/49)

=10/7×49/24

=35/12


图片格式

tanθ=2tan(θ/2)/(1-tan(θ/2)^2)=(10/7)/(1-25/49)=(10/7)(24/49)=35/12

望采纳