By trail and error with your calculator find the angle theta for which sin(theta) and theta differ by 5%. Must be done in radians.

Question

mani_jha · Answer

Let the angle be x. 
$$x-\sin x=(5\sin x)/100$$
$$x=105\sin x/100$$
$$x=21\sin x/20$$
$$\sin x=(20/21)x$$
Now, differentiating this with respect to x,
$$d(sinx)/dx=(20/21)(dx/dx)$$
$$\cos x=20/21$$
Now, find x using your calculator.
Did you understand?

mani_jha · Answer

Oh! You should've posted this in the Maths group

anonymous · Answer

ok so 20/21 = 0.95 and
cos 0.95=0.58 so my x= 0.58?

anonymous · Answer

or should i do cos inverse ?

mani_jha · Answer

cos inverse, of course.

anonymous · Answer

got it, thanks alot!

mani_jha · Answer

Welcome, but henceforth, don't post any maths question in physics group.
By the way, I am Mani. Where are you from?

anonymous · Answer

This  question is in my physics book  so i thought i shud post it under physics lol Hi Mani Im Anna from california