Răspuns :
[tex]\it tgx=4 \Rightarrow tg^2x=4^2 \Rightarrow \dfrac{sin^2x}{cos^2x}=16 \Rightarrow \dfrac{1-cos^2x}{cos^2x}=16 \Rightarrow \\ \\ \\ \Rightarrow \dfrac{1}{cos^2x}-1=16 \Rightarrow \dfrac{1}{cos^2x}=17 \Rightarrow cos^2x=\dfrac{1}{17}[/tex]