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Q.

State True or False:

If ㄥA and ㄥB are acute angles such that cos A=cos B , thenㄥA=ㄥB

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a

True

b

False 

answer is A.

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Detailed Solution

Let us take a right angle triangle
It is given that ㄥA and ㄥB are acute angle.
And ㄥC =90°
In the diagram
cos A= adjacent/ hypotenuse = AC/AB
cosB= CB/ AB
∵cosA = cosB…(given)
So   AC/AB   = CB/ AB
AC= CB
As two sides are equal. So angle on these two are equal.
ㄥA=ㄥB
Hence proved
   Type-   CBSE
Class-  10
Subject-  Mathematics
Chapter- Relation between trigonometric ratios
Topic-  Relation between trigonometric ratios
 
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State True or False:If ㄥA and ㄥB are acute angles such that cos A=cos B , thenㄥA=ㄥB