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Byju's Answer
Standard IX
Mathematics
Trigonometric Ratio(sec,cosec,cot)
If tan 2A = c...
Question
If
t
a
n
2
A
=
c
o
t
(
A
−
18
∘
)
, where 2A is an acute angle, find the value of A.
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Solution
t
a
n
2
A
=
c
o
t
(
A
−
18
∘
)
⇒
c
o
t
(
90
∘
−
2
A
)
=
c
o
t
(
A
−
18
∘
)
(As tan A = cot (
90
∘
- A))
Equating angles,
⇒
90
∘
−
2
A
=
A
−
18
∘
⇒
108
∘
=
3
A
⇒
A
=
36
∘
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