Answer:

cos A = cos B

Explanation:

ca

---ab

uebebrurvrirbd

Verified answer

Hii there!!

first In the right-angled triangle ABC as shown below, ∠A and ∠B are acute angles and ∠C is right angle.

• [tex]cos~ A =\dfrac{ side~ adjacent~ to ~∠A}{ hypotenuse}[/tex] = AC/AB

• [tex]cos ~B =\dfrac{side ~adjacent~ to~ ∠B}{/ hypotenuse}[/tex]= BC/AB

But Given that cos A = cos B

• Therefore, AC/AB = BC/AB

• AC = BC

Hence, ∠A = ∠B (angles opposite to equal sides of a triangle are equal.)