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Mathematics
Mathematics
Problem
Show that
1
+
tan
θ
2
1
−
tan
θ
2
=
1
+
sin
θ
cos
θ
=
tan
(
π
4
+
θ
2
)
.
\frac{1+\tan\frac{\theta}{2}}{1-\tan\frac{\theta}{2}} = \frac{1+\sin\theta}{\cos\theta} = \tan\left(\frac{\pi}{4} + \frac{\theta}{2}\right).
1
−
tan
2
θ
1
+
tan
2
θ
=
cos
θ
1
+
sin
θ
=
tan
(
4
π
+
2
θ
)
.
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