Question

what is the value of sin 35 degree and sin 47 degree in fraction​

Answer 1

Answer:

Let us solve this in derivative way:

let y = Sin x

then d y /d x = cos x

or d y = Cos x d x

also y + d y = Sin (x + d x)

hence Sin (x + d x) = sin x + Cos x d x

Now; Using x = 30 and d x = 5 in this equation :

Sin (30 + 5) = sin 30 + Cos 30 (5)

or Sin 35 = ( 1/2 ) + {sq.root(3)/2}{5*(22/7)(1/180)}

and Sin 35 = ( 1/2 ) + {sq.root(3)/2}{5*(22/7)(1/180)}

or Sin 35 = ( 1/2 ) + {sq.root(3)/2}{0.087266462}

and Sin 35 = ( 1/2 ) + {0.075574973}

or [Sin 35 = 0.575574973] (Approximately) Ans.

Explanation: