41. Prove that:
1
2 tan
+tan-1
tan-1
31
17
2
Answers
Answered by
0
Answer:
ANSWER
Given A=tan
−1
(
7
1
) and B=tan
−1
(
3
1
)
⇒tanA=
7
1
,tanB=
3
1
cos2A=
1+tan
2
A
1−tan
2
A
=
1+
49
1
1−
49
1
=
50
48
=
25
24
sin2A=
1+tan
2
A
2tanA
=
1+
49
1
7
2
=
25
7
cos2B=
1+tan
2
B
1−tan
2
B
=
1+
9
1
1−
9
1
=
10
8
=
5
4
sin2B=
1+tan
2
B
2tanB
=
1+
9
1
3
2
=
5
3
sin4B=2sin2B⋅cos2B=
25
24
=cos2A
tan2B =
cos2B
sin2B
=
4
3
Step-by-step explanation:
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