SOLUTION: for what angles (in degrees) does sin theta approximately equal theta? describe why mathematically.

SOLUTION: for what angles (in degrees) does sin theta approximately equal theta? describe why mathematically.

Algebra.Com

Question 984922: for what angles (in degrees) does sin theta approximately equal theta? describe why mathematically.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
For very small values of theta (in radians), sin(x) approximately equals x.
The first five terms of the Taylor series expansion for sin(x) is

So when x is small, and higher order terms become insignificant to the final answer.
You just have to define what small means in your case.

RELATED QUESTIONS
for what angles ( in degrees) does sin theta approximately equal theta? describe why... (answered by solver91311)

For what angles (in degrees) does sin θ ≈ θ? Describe why... (answered by solver91311)

The inequality sin theta >(or equal to) cos theta is true for all values of theta in the... (answered by lwsshak3)

why does sin(theta + pi/2)= + cos theta... (answered by stanbon)

Solve for theta 0 degrees < theta < 360 degrees.... (answered by solver91311,lwsshak3)

what does sin(theta) equal with points (8,... (answered by Theo)

Please help me with this question for my take home test :) Find all values of theta in (answered by lwsshak3)

if sin theta = radical 5 over 3 , then what does cos 2 theta equal... (answered by jsmallt9)

If sin theta = sqrt(3) / 2. What does cot theta... (answered by lwsshak3)