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there is a trig identity
\[\tan^2(\theta) = 1-\sec^2(\theta) \]

What values for, |dw:1436466383880:dw| satisfy the equation?

The rest of the equation is in the second attachment at the top

|dw:1436466531453:dw|

ehhh im not so sure how to do this one either.

|dw:1436466790578:dw|

Those are my answer options

HI
do what was suggested above
write it as a quadratic equation in terms of secant
then solve

I don't know how to do these equations at all

lol then cheat!

haha well i was thinking you guys could give me the right answer cuz i cant find it

yes @misty1212 we write it as a quadratic equation in terms of secant and then solve

@misty1212 anything can help, i just need the right answer

I know most of the process... but towards the end . I might crash

I think it has something to do with adding 2pi or subtracting 2pi ...hence more than one answer

|dw:1436503293700:dw|

|dw:1436503337897:dw|

idk, i dont have a calculator at the moment sadly lol

|dw:1436503536319:dw|

|dw:1436503556177:dw|

now let all secants be x for now because that quadratic equation looks mean

|dw:1436503613776:dw|

oh yes we can factor this woo!

ok im learning lol

|dw:1436503685977:dw|

I'm using b^2-4ac so I would know what that part is already for that quadratic formula

|dw:1436503730219:dw|

|dw:1436503768417:dw|

|dw:1436503804424:dw|

So how do we find one of my answers from A-D? lol

nice I found the problem -_-! only one of them is right

but strange taking the quadratic equation approach always works...

Can you explain, or do you just wanna give the answer?

\[(\sec(\theta)-2)(2\sec(\theta)+1)=0\]

Alrightyyy

so secant = 1/cosine this would be a bit easier to work with

ok whats next

So is the answer D?

yeah, but I want to get the other answer from that choice.

we got our pi/3. let's see if I can grab 5pi/3

which is 300 degrees.

\[\frac{3}{3} \times 2\pi-\frac{\pi}{3} = \frac{6 \pi-\pi}{3} \]

\[\frac{5\pi}{3} \]

there. XDDDDDDDDDDDDDDDDDDDDDDD

I can't believe I just did that ... it's been 6 years....

yay you did it lol

yeah its tough sometimes, but at least you guys are great help

thanks :D

you're welcome. i gave you a medal