Question

NEED HELP ASAP, WILL GIVE BRAINLIEST

Which rectangular equation represents the parametric equations x = 2sec(t) + 1 and y = 6tan(t)?​

Answer 1

Answer:

A.)

Step-by-step explanation:

literally guessed but was right lol

Answer 2

Option first is correct.

What is rectangular equation?

A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on regular cartesian plane.

According to the given question

We have

x = 2sec(t) + 1 and y = 6tan(t)

Now the above expressions can be written as :

x -1 = 2sec(t)

⇒  $sec(t)\frac{x-1}{2}$

similarly,

$\frac{y}{6} = tan(t)$

From trigonometric identities we know that

$1 + tan^{2} \ t = sec^{2} \ t$

Substitute the value of tant and sect in the above identity

$1 + (\frac{y}{6} )^{2} =(\frac{x-1}{2}) ^{2}$

⇒$\frac{(x-1)^{2} }{4} -\frac{y^{2} }{36} =1$, this is the required rectangular equation.

Hence, option first is correct.

Learn more about rectangular equation here:

https://brainly.com/question/12718642

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