In triangle ABC, if tanA/2=5/6 and tanB/2=20/37 then show that tan(C/2)=2/5
Answers
Answered by
2
Answer:
*HaPpY InDePeNdEnCe DaY*
Step-by-step explanation:
Correct option is
A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
In △ABC
A+B+C=π⇒
2
A+B+C
=
2
π
2
C
=π−
2
A+B
tan
2
C
=tan(π−
2
A+B
)=cot(
2
A+B
)
=
tan
2
A
+tan
2
B
1−tan
2
A
tan
2
B
=
6
5
.
37
20
1−
6
5
.
37
20
=
5
2
Answered by
0
Step-by-step explanation:
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