Math, asked by shrutisingh5950, 8 months ago

if a b and c are the interior angles of triangle ABC show that 1) cos a+ b/ 2 = sin C / 2
2) tan c+a/2=cot b/2
please and it fast unwanted and would be reported and the right and would be marked as brain lest

Answers

Answered by rahuldewani75
0

Step-by-step explanation:

Considering that angle C = 90°

so by angle sum property

angle A + angle B =180-Angle C

which will give angle a+b = 90

now ,

cos a+b/2= cos 90/2=cos 45 =1/√2

and

sin c/2= sin 90/2=sin 45=1/√2

which means cos a+b/2= sin c/2

Now considering angle b = 90°

by ASP,

angle a+c=180-b

a+c=90

so, tan a+c/2=tan 90/2=tan 45=1

and

cot b/2=cot 90/2=cot 45=1

so,

tan a+c/2=cot b/2

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