Question

TRUE OR FALSE? The value pi/4 is a solution for 3√2 secθ+7=1

Answer 1

You just substitute pi/4 for angle theta and see if its equal 1. If it is then pi/4 is a solution and if not then its not a solution.

Answer 2

@snowsurf so I am supposed to replace the θ with pi/4? So it looks like this 3√2 sec(pi/4)+7=1?

Answer 3

Yes

Answer 4

To me it looks false?

Answer 5

Do you know if that is correct?

Answer 6

Let's work it out together to show why it would be false.
3√2 secθ+7=1
3√2 sec(pi/4) + 7=1

We know cos(pi/4)=√2 /2 but secx =1/cosx so we take the reciprocal
So then it will be (3√2)(2/√2) +7 =1.. And we can tell that does not equal 1 for sure.