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Byju's Answer
Standard X
Mathematics
Complementary Trigonometric Ratios
If tan 4θ= co...
Question
If
t
a
n
4
θ
=
c
o
t
(
θ
−
10
∘
)
, where
4
θ
and
(
θ
−
10
∘
)
are acute angles then the value of
θ
in degrees is
___
.
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Solution
t
a
n
4
θ
=
c
o
t
(
θ
−
10
∘
)
⇒
t
a
n
4
θ
=
t
a
n
[
90
∘
−
(
θ
−
10
∘
)
]
⇒
4
θ
=
90
∘
−
θ
+
10
∘
⇒
θ
=
100
∘
5
⇒
θ
=
20
∘
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