Which rectangular equation corresponds to these parametric equations?
x = 0.2sec t and y = -0.25tan t

Question

Which rectangular equation corresponds to these parametric equations?
x = 0.2sec t and y = -0.25tan t

perl · Answer

what do we know about tan and sec, there is a pythagorean identity

anonymous · Answer

do you guys mind helping me when your done here?

anonymous · Answer

eliminate t using trig identities. 1+tan^2 t = sec^2 t. 

tan t=-4y, sec t = 5x, so 1+16y^2=25x^2

perl · Answer

sin^2(u) + cos^2(u) = 1
tan^2(u) + 1 = sec^2(u)
1 + cot^2(u) = csc^2(u)

anonymous · Answer

soooo.... your answer is 
 25x^2 − 16y^2 = 1

anonymous · Answer

yep

freckles · Answer

well I think @Niguyver it is the one where you have 
$$1=\sec^2(t)-\tan^2(t)$$
(this is the Pythagorean identity that was talked about above)
solve for sec(t) and tan(t) given your equations
then square and plug in

freckles · Answer

should be no + between the sec^2 and tan^2