wyattrosier wyattrosier
  • 07-04-2024
  • Mathematics
contestada

x=5 tan t, y = 4 sec t; 0≤t≤2

How would I even convert the sec here?

x5 tan t y 4 sec t 0t2 How would I even convert the sec here class=

Respuesta :

dashataran
dashataran dashataran
  • 07-04-2024

Answer:

[tex]\tan t=\dfrac{x}{5}\\\\\text{Now,}\\\sec^2t-\tan^2t=1\\\\\text{or, }\sec^2t-\dfrac{x^2}{5^2}=1\\\\\text{or, }\sec^2t=1+\dfrac{x^2}{25}\\\\\text{or, }\sec^2t=\dfrac{x^2+25}{25}\\\\\therefore\ \sec t=\dfrac{\sqrt{x^2+25}}{5}[/tex]

Answer Link

Otras preguntas

Tower A and B are 151 m apart. From the top of tower A at 68 m above ground, the angle of elevation to the top of tower B is 23°. How tall is tower B to the nea
15 2 pts Find the area of the given shape, a) 18 b) 15 c) 24 d) 21
Which of the following is a correct listing of money's functions? Question 6 options: source of credit, value of transaction costs, unit of barter medium of bar
Solve for x for this triangle (geometry)
Brooke paints the outsides of the square walls and triangular ceilings of her treehouse. What area does she paint? Enter to your answer in the box
Which of the following does not represent a function? ​
D. Escoja la palabra que completa cada oración correctamente. 1. Desde (el frente/la frente) llegó ayer (un parte/una parte) especial.
Anyone know the answer to this?
The fight against Germany usually gets stopped billing but it was actually the fight against Japan that was the most important to America. Explain why that woul
What inverse operation should be used to isolate the variable in the equation c ÷ 7 = 2?