secx sqrt 2

Question

secx sqrt 2

anonymous · Answer

$$\sec x\sqrt{2}~?$$what do you want?

anonymous · Answer

Sorry I'm not too sure how to work this yet. The equation is asking me to find all the answers for secx sqrt2. I have access to the answers which state pi/4+2npi or 7pi/4+2npi. I don't fully understand why there is the added 2npi. could anyone please explain where the 2npi came from? thank you!

kc_kennylau · Answer

because it does not only apply to $\dfrac\pi4$, but also to $\dfrac{9\pi}4$ and $\dfrac{17\pi}4$ etc etc
so $\left(\dfrac\pi4+2n\pi\right)$ would be a general formula

anonymous · Answer

n usually refers to the number it rotates, $$2\pi$$is the measured angle for complete revolution...

anonymous · Answer

Right! oh okay thank you all so much!! I get it now!

kc_kennylau · Answer

no problem :)

anonymous · Answer

as long as we're online... :)