Question

Please helpthe answer is supposed to be written in simplified rationalized form

Answer 1

The angle is in the 2nd quadrant, therefore:

The sin function is given by:

`\sin (\theta)=(opposite)/(hypotenuse)=(1)/(3)`

Let's find the adjacent side using pythagorean theorem:

`adjacent=\sqrt[]{3^2-1^2}=\sqrt[]{8}=2\sqrt[]{2}`

Therefore:

`\sec (\theta)=(hypotenuse)/(adjacent)=-\frac{3}{2\sqrt[]{2}}=-\frac{3\sqrt[]{2}}{4}`