Question

In the figure, m∠B = m∠C and ∠D is a right angle. cos B =

Answer 1

Because m∠B = m∠C, therefore
cosB =  cosC

By definition,
$cosC= \frac{CD}{AC}$

Therefore
$cosB= \frac{CD}{AC}$

Answer 2

The value of cos B  =  CD /AC.

What is a Right Angled Triangle ?

A right angled triangle is a triangle with one of its angle measure as 90 degree.

It is given that

m∠B = m∠C and

∠D is a right angle.

cos B = ?

As Triangle ADC is right angled triangle

The value of Cos C  =  Base /  Hypotenuse = CD /AC

As m∠B = m∠C

Therefore cos B = Cos C  =  CD /AC.

To know more about Right Angled Triangle

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