A right angled ∆ is given to us and we need to find out the value of cos45°( with rationalized denominator ) . As we know that in a right angle ∆ , the value of cosine is ,
In the given triangle ,
Value of base =1
Value of hypotenuse=√2
On substituting the respective values ,
For rationalizing the denominator , multiply numerator and denominator by √2, we have,