hi guys can you please help me with this.
On page 431 of Physics: Calculus, 2d ed., by Eugene Hecht(Pacific Grove, CA: Brooks/Cole, 2000), in the course of derivingthe formula T=2π√L/g for the period of a dendulum oflength L, the author obtains the equation at=-gsinθfor the tangential acceleration of the bob of the pendulum. He then says, "for small angles, the value of θ in radians isvery nearly the value of sin θ; they differ by less than 2%out to about 20 degrees."
(a) Verify the linear approximation at 0 for the sine function:
sinx ˜ x
(b) Use a graphing device to determine the values of x for whichsin x and x differ by less than 2%. Then verify Hecht'sstatement by converting from radians to degrees.
I understand how to do a, where if you find the equation of the tangent line you should end up with y=x. But can someone please help me with b?