Question

Find sec x if tan^2 x= 1/2
(picture provided)

Answer 1

D

Explanation:

Answer 2

Answer: option d.

Explanation:

Based on the information given in the problem, you know that:

`tan^2x=(1)/(2)`

You also know that:

`sec^2(x)=tan^2(x)+1`

Substitute values. Then, you obtain:

`sec^2(x)=(1)/(2)+1\\\\sec^2(x)=(3)/(2)`

Apply square root to both sides. Therefore, you obtain:

`√(sec^2(x))=\±\sqrt{(3)/(2)}\\\\sec(x)=\±(√(3))/(√(2))\\\\sec(x)=\±(√(3))/(√(2))(√(2))/(√(2))\\\\sec(x)=\±(√(3(2)))/(2)\\\\sec(x)=\±(√(6))/(2)`