2.
- tan A
(x)
1 + tan? A
1 + cot?A
= 6
= tan? A
cot A
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12th
Maths
Inverse Trigonometric Functions
Inverse Trigonometric Functions
tan ^-1 (1/2tan2A) + tan ^-...
MATHS
tan
−1
(
2
1
tan2A)+tan
−1
(cotA)+tan
−1
(cot
3
A)={
0,if
4
π
<A<
2
π
π,if0<A<
2
π
MEDIUM
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ANSWER
tan
−1
(
2
1
tan2A)+tan
−1
(
1−cot4A
cotA+cot3A
)
tan
−1
(
2(1−tan
2
x)
2tanA
)+tan
1
(
1−cot
2
cotA
)
⇒tan
−1
(
1−tan
2
A
tanA
)+tan
−1
⎝
⎜
⎜
⎜
⎛
tan
2
A
tan
2
A−1
tanA
1
⎠
⎟
⎟
⎟
⎞
⇒tan
−1
(
1−tan
2
A
tanA
)+tan
−1
(
tan
2
A−1
tanA
)
⇒ if
4
π
<A<
2
π
⇒tan
−1
(
1−tan
2
A
tanA
)−tan
−1
(
1−tan
2
A
tanA
)=0
if 0<A<
2
π
⇒tan
−1
(
1−tan
2
A
tanA
)+cot
−1
(
1−tan
2
A
tanA
)
=π
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