Question

50 POINTSS WILL VOTE!!!!!!!!!!!!!

At which angle is secant of theta equals radical 2 question mark

7 times pi over 6
5 times pi over 4
7 times pi over 4
11 times pi over 6

Answer 1

The equation is given to be:

`\text{sec} \theta=-√(2)`

Recall that sec is the inverse of cos. Thus, we have:

`\frac{1}{\text{cos}\theta}=-√(2)`

Rewriting the equation, we have:

`\text{cos}\theta=-(1)/(√(2) )`

We can find the across of both sides:

`\theta=\text{across}(-(1)/(√(2) ) )`

Since we know that:

`\text{cos}(-x)=\text{cos}(x)`

Then, we have:

`\theta=\text{across}((1)/(√(2) ) )`

Recall the identity:

`\text{across}((1)/(√(2) ) )=(3\pi )/(4) +2\pi \text{n}=(5\pi )/(4) +2\pi \text{n}`

Therefore, the answer is the SECOND OPTION.