Question

If 2 sin 40°.cos 10º = sin A + sin B then value of A and B is?​

Answer 1

Answer:

If 2 sin 40°.cos 10º = sin A + sin B then value of A and B is?

Step-by-step explanation:

this may help you..

Answer 2

Answer:

From this question, we will find the value of A and B using the given trigonometric equation $2 sin 40$°·$cos10$° $=sinA+sinB$.

Value of A $= 50$° and B $= 30$°.

Step-by-step explanation:

The given sum is equal to the following trigonometric formula.

That is,     $2sinA$·$cos B$$=sin(A+B)+sin(A-B)$          

So that apply the given question into the above formula.

First take L.H.S(Left Hand Side) of the question.

That is,     $2 sin 40$°·$cos10$° $=sin$($40$° + $10$°) + $sin$($40$°- $10$°)

                $2sin40$°·$cos10$° $=sin50$° + $sin 30$°

Now the above value equate to the R.H.S(Right Hand Side) of the question.

That is,    $sin50$° + $sin 30$°$=sinA+sin B$

from the above trigonometric equation,

                               $A=50$°

                                $B=30$°