Question

Trigonometry For the triangle below, find the exact value of cos A

Answer 1

Given

To find the exact value of cos A.

Step-by-step explanation:

It is given that,

`\begin{gathered} opp.side=8 \\ adj.side=8 \\ hypotnuse=√(8^2+8^2) \\ =√(64+64) \\ =√(128) \\ =8√(2) \end{gathered}`

That implies,

`\begin{gathered} cosA=(8)/(8√(2)) \\ cosA=(1)/(√(2)) \end{gathered}`

Hence, the exact value of cos A is,

`(1)/(√(2))`