Help with Calculus activity

Question

Hello, I need help with this question. Could you please help me out? I need to calculate

(3 cos (t), 4 sin(t))

0 ≤ t ≤ π/2

Answer 1

problem specifies x=3cos(t), y=4sin(t)

it is a parametric curve. For any value of t, have x,y coordinate point

for 0≤t<2π it is an ellipse.

For problem range it is one quarter of an ellipse.

know cos(t)=x/3 and sin(t)=y/4 is specified

cos²(t)+sin²(t)=1

(x²/9)+(y²/16)=1

is equation of ellipse.

Answer 2

(3cost, 4sint)

with t in the 1st quadrant

maybe about 53.13 degrees = about .295 pi = .927 radians

the angle whose tangent = 4/3

cos53.13 = 3/5

sin 53.13 = 4/5

(3cos53.13, 4sin53.13) =

(3(3/5), 4(4/5)) = (9/5,16/5)= (1.8, 3.2)

although it's really unclear what the problem is asking