IN A TRIANGLE ABC , tan A/2=5/6
and tan c/2=2/5 then
a)a.b.c are in A P
b)cos A,cos b, cos C are in AP
c)sin a,sin b,sin c are in GP
d)none of these

Question

IN A TRIANGLE ABC , tan A/2=5/6 and tan c/2=2/5 then a)a.b.c are in A P b)cos A,cos b, cos C are in AP c)sin a,sin b,sin c are in GP d)none of these

vikas askiitian expert · Answer

tanA/2 = [(s-b)(s-c)/s(s-a)] 1/2 ....................1 tanC/2 = [(s-a)(s-b)/s(s-c)] 1/2 ..................2 eq1 * eq2 = tanA/2tanB/2 = [s-b/s] .................3 tanA/2 = 5/6 (given) tanC/2 = 2/5 (given) tanA/2tanB/2 = 5/6*2/5 = 1/3 from eq 3 , (s-b)/s = 1/3 3s - 3b = s 2s = 3b 2(a+b+c)/2 = 3b a+c = 2b a,b,c are in AP approve if u like my ans

vikas askiitian expert · Answer

dear GAVEESH a,b,c are in AP .........

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IN A TRIANGLE ABC , tan A/2=5/6 and tan c/2=2/5 then a)a.b.c are in A P b)cos A,cos b, cos C are in AP c)sin a,sin b,sin c are in GP d)none of these

IN A TRIANGLE ABC , tan A/2=5/6
and tan c/2=2/5 then
a)a.b.c are in A P
b)cos A,cos b, cos C are in AP
c)sin a,sin b,sin c are in GP
d)none of these

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