Use the appropriate anglesum formula to simplify the followi

Use the appropriate angle-sum formula to simplify the following expression:

sin(185°) cos(35°) + cos(185°) sin(35°)

a) sin(6475°)

b) sin(150°)

c) cos(150°)

d) cos(220°)

e) sin(220°)

f) None of the above.

Question 19

Given sin(x) = ³₄ with 90^o < x < 180^o, and sin(y) = ^-2₃ with 180^o < y < 270^o. Find sin(x - y).

f) None of the above.

Solution

sin 185 cos 35+cos 185sin 35

This is of the form sin A cos B +cos A sin B which is equal to

Sin(A+B)

So we get

Sin(185+35)=sin 220

Correct option is e