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Byju's Answer
Standard XII
Mathematics
Composition of Trigonometric Functions and Inverse Trigonometric Functions
If 3 tanθ=3 s...
Question
If
3
tan
θ
=
3
sin
θ
, find the value of sin θ.
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Solution
Given
:
3
tan
θ
=
3
sin
θ
3
tan
θ
=
3
sin
θ
⇒
3
sin
θ
cos
θ
=
3
sin
θ
⇒
3
sin
θ
cos
θ
-
3
sin
θ
=
0
⇒
3
sin
θ
-
3
sin
θ
cos
θ
cos
θ
=
0
⇒
3
sin
θ
-
3
sin
θ
cos
θ
=
0
⇒
3
sin
θ
1
-
3
cos
θ
=
0
⇒
sin
θ
=
0
or
1
-
3
cos
θ
=
0
⇒
sin
θ
=
0
or
cos
θ
=
1
3
⇒
sin
θ
=
0
or
cos
2
θ
=
1
3
⇒
sin
θ
=
0
or
1
-
cos
2
θ
=
1
-
1
3
⇒
sin
θ
=
0
or
sin
2
θ
=
2
3
⇒
sin
θ
=
0
or
sin
θ
=
2
3
Hence
,
the
value
of
sin
θ
is
0
or
2
3
.
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Q.
If
3
tan
θ
=
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sin
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, find the value of sin
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