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Byju's Answer
Standard X
Mathematics
Complementary Trigonometric Ratios
tan 9o×tan 27...
Question
tan
9
o
×
tan
27
o
×
tan
63
o
×
tan
81
o
=
A
4
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B
3
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C
2
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D
1
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Solution
The correct option is
D
1
tan
9
∘
.
tan
27
∘
.
tan
63
∘
.
tan
81
∘
=
tan
(
90
∘
−
81
∘
)
.
tan
(
90
∘
−
63
∘
)
.
tan
63
∘
.
tan
81
∘
=
cot
81
∘
.
cot
63
∘
.
tan
63
∘
.
tan
81
∘
=
1
Suggest Corrections
0
Similar questions
Q.
tan
9
o
−
tan
27
o
−
tan
63
o
+
tan
81
o
=
Q.
Without using tables, show that
tan
9
o
−
tan
27
o
−
tan
63
o
+
tan
81
o
=
4
Q.
Find the value of
tan
9
o
−
tan
27
o
−
tan
63
o
+
tan
81
o
.
Q.
(i) Show that
t
a
n
9
o
−
t
a
n
27
o
−
t
a
n
63
o
+
t
a
n
81
o
=
4
(ii) Show that
c
o
s
42
o
+
c
o
s
78
o
+
c
o
s
162
o
=
0
Q.
tan
18
o
+
tan
27
o
+
tan
18
o
.
tan
27
o
=
1
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