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Byju's Answer
Standard XII
Mathematics
Sin(A+B)Sin(A-B)
if sin x = ...
Question
if
sin
x
=
1
/
2
then what is the value of tan x,
x
∈
(
π
2
,
π
)
Open in App
Solution
sin
x
=
1
2
,
x
(
π
2
,
π
)
∴
x
is in second quadrant.
⇒
sin
x
=
sin
(
π
−
π
6
)
in second quadrant
sin
θ
is positive.
⇒
x
=
π
−
π
6
∴
x
=
6
π
−
π
6
=
5
π
6
Now
tan
x
=
tan
(
5
π
6
)
=
tan
(
π
−
π
6
)
=
−
tan
π
6
=
−
1
√
3
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Standard XII Mathematics
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