The 3rd degree Taylor polynomial for cos x centered at a= pi/2 is given by

cosx= -(x-(pi/2))+1/6 ((x-(pi/2))^3 +R3(x)

Using this, estimate cos 87°correct to five decimal places.

Question

The 3rd degree Taylor polynomial for cos x centered at a= pi/2 is given by

cosx= -(x-(pi/2))+1/6 ((x-(pi/2))^3 +R3(x)

Using this, estimate cos 87°correct to five decimal places.

anonymous · Answer

convert $$87^{\circ}$$to radians and substitute in for x and compute

anonymous · Answer

$$87^{\circ}\cdot \frac{ \pi  }{ 180^{\circ} }=\frac{ 87 \pi }{ 180 }$$$$\left( \frac{ 87 \pi }{ 180 }-\frac{ \pi }{ 2 } \right)=\left( \frac{ 87 \pi }{ 180 }-\frac{90 \pi }{ 180 } \right)=-\frac{ 3 \pi }{ 180 }=-\frac{  \pi }{ 60 }$$

anonymous · Answer

thanks.

anonymous · Answer

you're welcome