Question

can someone help me o this question

Answer 1

find an equation of the line tangent to the curve at the point corresponding to the given value of t

x=cost + tsint
y=sint - tcost
t=pi/4

Answer 2

Can someone help me please

Answer 3

Want to get the line

\[\large y-y _{1}=\frac{ dy }{ dx }*(x-x _{1})\]

You can plug in t=pi/4 into the parametric equations and get the point (x1,y1) first

Answer 4

\[x _{1}=\cos(\frac{ \pi }{ 4 })+\frac{ \pi }{ 4 }*\sin(\frac{ \pi }{ 4 }) = \frac{ \sqrt{2} }{ 2 }+\frac{ \pi*\sqrt{2} }{ 8 }\approx1.26\]

Answer 5

same for y when t= pi/4
\[y _{1}\approx 0.15\]
You got that part?