Math, asked by navpreetkaurhanda, 1 year ago

chapter-8 excercise-8.1
6 queston- if<A and<B are acute angle such that cos A=B then show <A=<B.

Answers

Answered by SmãrtyMohït
19
❤❤Here is your answer ✌ ✌

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navpreetkaurhanda: ,thanku soo much
navpreetkaurhanda: like this you can help me in maths subject!!
navpreetkaurhanda: yeah
Answered by Shubhendu8898
31

Given,

∠A  and ∠B  are acute angles  ΔABC as  shown in picture,

Now,

in ΔADC

CosA = AD/AC

in ΔBDC  

CosB = AD/BC  

Given,

CosA = CosB

AD/AC = AD/BC

AC  = BC  

We know that, in  a triangle if  two opposite sides are euqal, there corresponding angles  will be  also equal. Hence,

∠A = ∠B

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