Question

Given the diagram below, what is cos(45)?

Answer 1

Answer:A

Step-by-step explanation:

Answer 2

Answer:

A) cos(45) =$\frac{1}{\sqrt{2}}$.

Step-by-step explanation:

Given : A triangle 90 - 45-45 with perpendicular side 9.

To find : what is cos(45)?

Solution : We have given that triangle 90 - 45-45 with perpendicular side 9.

By the triangle 90 - 45-45 rule : adjacent side is same as opposite side and hypotenuse is √2 times of adjacent side.

Then adjacent side = 9

Hypotenuse = 9$\sqrt{2}$ .

Then cos(45) = $\frac{adjacent side}{Hypotenuse}$.

cos(45) =  $\frac{9}{9\sqrt{2}}$

cos(45) = $\frac{1}{\sqrt{2}}$

Therefore, A) cos(45) = $\frac{1}{\sqrt{2}}$.