- Find the value of
sin 19PIE/3
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Step-by-step explanation:
Every trigonometric function has a cycle of
2
π
, i.e. after
2
π
, the function is repeated. In fact functions tan and cot repeat after every
π
.
As
tan
(
19
π
3
)
=
tan
(
18
π
+
π
3
)
=
tan
(
6
π
+
π
3
)
=
tan
(
π
3
)
(as
6
π
is a multiple of
π
which is cycle for function tan)
and as
tan
(
π
3
)
=
√
3
, we have
tan
(
19
π
3
)
=
√
3
=
1.732
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