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Standard X
Mathematics
Question
t
a
n
(
2
×
30
∘
)
=
2
t
a
n
30
∘
1
−
t
a
n
2
30
∘
, if true then write 1 and if false then write 0
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Solution
Verified by Toppr
To Prove:
tan
(
2
×
30
0
)
=
2
tan
30
0
1
−
tan
2
30
0
L.H.S:
t
a
n
(
2
×
30
∘
)
=
t
a
n
60
∘
=
√
3
R.H.S:
2
tan
30
0
1
−
tan
2
30
0
=
2
(
1
√
3
)
1
−
(
1
√
3
)
2
=
2
√
3
2
3
=
√
3
Thus,
L
.
H
.
S
=
R
.
H
.
S
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(
2
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30
∘
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=
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1
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∘
, if true then write 1 and if false then write 0
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