Respuesta :

[tex]\bf cos(\theta)=\cfrac{1}{sec(\theta)}\qquad \qquad \boxed{sec(\theta )=2}\implies cos(\theta)=\cfrac{1}{\boxed{2}}[/tex]

Answer:

the value of cos θ is [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Since, [tex] cos\theta=\frac{1}{sec\theta}[/tex]

we are given with sec θ = 2

To find the value of cos θ , we use this fact [tex] cos\theta=\frac{1}{sec\theta}[/tex]

put sec θ = 2 in [tex] cos\theta=\frac{1}{sec\theta}[/tex]

[tex] cos\theta=\frac{1}{2}[/tex]

Therefore, the value of cos θ is [tex]\frac{1}{2}[/tex].