Determine Cartesian equation for parametric equations x = 1 - sec(2t), y = 1 + tan(2t), pi/4 < t < 3pi/4

[Year12Star]

Question 7

Question 8

Question 9

 

[stapel]

Question 6(f). For [imath]x = 1 - \sec(2t)[/imath] and [imath]y = 1 + \tan(2t)[/imath], with [imath]t \in \left(\dfrac{\pi}{4},\, \dfrac{3\pi}{4}\right)[/imath], determine the Cartesian equation of the curve, and sketch.

Question 4. If [imath]A = (-4,\, 6)[/imath] and [imath]B = (6,\, -7)[/imath], find:


Question 8

Question 9. The triangular base [imath]ABC[/imath] of a tetrahedron has side lengths [imath]AB = 15\textrm{ cm}[/imath], [imath]BC = 12\textrm{ cm}[/imath], and [imath]AC = 9\textrm{ cm}[/imath]. The apex [imath]D[/imath] is [math]9\textrm{ cm}[/imath] vertically above [imath]C[/imath]. [/QUOTE] As you saw in the "[URL='https://www.freemathhelp.com/forum/threads/read-before-posting.41537/']Read Before Posting[/URL]" message, before we can help you, we first need to know where you're having trouble. So please reply with a clear listing of your thoughts and efforts so far, for each of the exercises that you've posted. When you reply, please include the rest of Question 4/7, and the instructions for Question 9. Thank you![/math]