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Standard X
Mathematics
Question
c
o
s
(
2
×
30
∘
)
=
1
−
t
a
n
2
30
∘
1
−
t
a
n
2
30
∘
, if true then write 1 and if false then write 0
Open in App
Solution
Verified by Toppr
To prove:
cos
(
2
×
30
0
)
=
1
−
tan
2
30
0
1
−
tan
2
30
0
L.H.S :
c
o
s
(
2
×
30
∘
)
=
c
o
s
60
∘
=
1
2
R.H.S.:
1
−
tan
2
30
0
1
−
tan
2
30
0
=
1
−
(
1
√
3
)
2
1
−
(
1
√
3
)
2
)
=
2
3
2
3
=
1
Thus,
L
.
H
,
S
.
≠
R
.
H
.
S
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o
s
(
2
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30
∘
)
=
1
−
t
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∘
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∘
, if true then write 1 and if false then write 0
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Q2
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Q4
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Q5
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n
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if true then write 1 and if false then write 0
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