what is the value of tan 3pie/8.
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Answer:
Use trig identity:
tan
2
a
=
2
tan
a
1
−
tan
2
a
Call
tan
(
3
π
8
)
=
t
. Trig table gives -->
tan
(
3
π
4
)
=
−
1
2
t
1
−
t
2
=
−
1
→
2
t
=
t
2
−
1
-> Solve quadratic equation:
t
2
−
2
t
−
1
=
0
D
=
d
2
=
4
+
4
=
8
→
d
=
±
2
√
2
t
=
tan
(
3
π
8
)
=
1
+
(
√
2
)
(Quadrant I)
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