Question

if x =5 cos a and y =8 sin a,eleminate a​

Answer 1

Answer:

Step-by-step explanation:

x = 5 cos a ---> x/5 = cos a

y = 8 sin a ---> y/8 = sin a

we know that $sin^{2} a$ + $cos^{2} a$ = 1

which means

$(y/8)^{2}$ + $(x/5)^{2}$ = 1

$y^{2}$/64 + $x^{2}$/25 = 1

25$y^{2}$ + 64$x^{2}$ = 1600

Hope this helps.