Respuesta :

sec θ=1/cos θ
cos θ=9/10, so sec θ=10/9

Answer:

The value of sec θ is [tex]\frac{10}{9}[/tex]

Step-by-step explanation:

Given,

[tex]cos \theta = \frac{9}{10}[/tex]

Since,

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

[tex]\implies \frac{1}{sec \theta}=\frac{9}{10}[/tex]

By cross multiplication,

[tex]10=9 sec \theta[/tex]

[tex]\implies sec \theta = \frac{10}{9}[/tex]

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