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Answer :

[tex]\begin{gathered} \tan x=8 \\ x=\tan ^{-1}_{}(8) \\ x=82.87^0 \end{gathered}[/tex][tex]\begin{gathered} \sin (2x)=\sin 2(82.87) \\ \Rightarrow\sin (165.74) \\ \Rightarrow\sin (2x)=0.25 \end{gathered}[/tex][tex]\begin{gathered} \cos (2x)=\text{cos}2(82.87) \\ \Rightarrow\cos (165.74) \\ \Rightarrow\cos (2x)=-0.97 \end{gathered}[/tex][tex]\begin{gathered} \tan (2x)=\tan 2(82.87) \\ \Rightarrow\tan (165.74) \\ \Rightarrow\tan (2x)=-0.25 \end{gathered}[/tex]

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