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Byju's Answer
Standard X
Mathematics
Trigonometric Identities
The value of ...
Question
The value of
tan
203
∘
+
tan
22
∘
+
tan
203
∘
tan
22
∘
is
A
−
1
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B
0
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C
1
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D
2
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Solution
The correct option is
D
1
tan
225
=
+
1
tan
(
203
+
22
)
=
+
1
tan
203
+
tan
22
1
−
tan
203
tan
22
=
+
1
⇒
tan
203
+
tan
22
=
+
1
−
tan
203
tan
22
⇒
tan
203
+
tan
22
+
tan
203
tan
22
=
1
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0
Similar questions
Q.
Find the value of
tan
23
∘
+
tan
22
∘
1
−
tan
23
∘
.
tan
22
∘
Q.
If
tan
2
2
∘
+
tan
2
4
∘
+
⋯
+
tan
2
88
∘
=
a
,
then the value of
89
∘
∑
θ
=
1
∘
sin
4
θ
+
cos
4
θ
sin
2
θ
cos
2
θ
is
Q.
If
tan
22
0
and
tan
23
0
are roots of
x
2
+
a
x
+
b
=
0
, then
Q.
tan
22
∘
and
tan
23
∘
are roots of
x
2
+
a
x
+
b
=
0
then
Q.
If
P
=
log
2
(
cos
1
∘
⋅
cos
2
∘
⋅
cos
4
∘
⋅
cos
8
∘
…
cos
1024
∘
⋅
cos
2048
∘
)
Q
=
log
2
(
(
1
+
tan
23
∘
)
(
1
+
tan
22
∘
)
)
R
=
log
2
(
sin
1
∘
)
and
S
=
log
2
(
cos
46
∘
)
,
then the value of
|
(
P
+
Q
+
R
)
−
S
|
equals
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