if angle a and angle b are acute angles such that cosA=cosB, then show that
angleA=angleB.
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solve this problem by using obe triangle only
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Answer:
if angle a and angle b are acute angles such that cosA=cosB, then show that
angleA=angleB.
Given :
According to the question:-
Let cosA= Hypotenuse sideadjacent A AB AC
Similarly, cosB= Hypotenuse sideadjacent B = AB BC
To find :
Given that
cosA=cosB
AB AC = AB BC
Solution :
AC=BC In triangle,
angles opposite equal side are equal
∠B=∠A
Step by step explanation :
If ∠A and ∠B are acute angles such that cosA=cosB , show that ∠A=∠B.
Hint: In general opposite angles of equal sides are also equal.
We can prove angle A equal to angle B by proving opposite sides of angle A and B also equal.
Also cos of any angle equal to the ratio of adjacent to hypotenuse.
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( ̄3 ̄)( ̄3 ̄)( ̄3 ̄)( ̄3 ̄)( ̄3 ̄)( ̄3 ̄)kissi do
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