CalinaH636835 CalinaH636835
  • 31-10-2022
  • Mathematics
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Trigonometry For the triangle below, find the exact value of cos A

Trigonometry For the triangle below find the exact value of cos A class=

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MikhailA454298 MikhailA454298
  • 31-10-2022

Given

To find the exact value of cos A.

Explanation:

It is given that,

[tex]\begin{gathered} opp.side=8 \\ adj.side=8 \\ hypotnuse=\sqrt{8^2+8^2} \\ =\sqrt{64+64} \\ =\sqrt{128} \\ =8\sqrt{2} \end{gathered}[/tex]

That implies,

[tex]\begin{gathered} cosA=\frac{8}{8\sqrt{2}} \\ cosA=\frac{1}{\sqrt{2}} \end{gathered}[/tex]

Hence, the exact value of cos A is,

[tex]\frac{1}{\sqrt{2}}[/tex]

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