Question

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

Answer 1

Answer:A

Explanation:

Answer 2

A) cos(45) =
`(1)/(√(2))`.

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
`√(2)` .

Then cos(45) =
`(adjacent side)/(Hypotenuse)`.

cos(45) =
`(9)/(9√(2))`

cos(45) =
`(1)/(√(2))`

Therefore, A) cos(45) =
`(1)/(√(2))`.