Question

Find the Value of ✓3 Cos 23° - Sin23° / 2.

Answer 1

LHS= root 3 cos 23 - sin 23

multiplying and dividing 2 in LHS,
2(root 3/2 cos 23 - 1/2sin 23)
since root 3/2 is cos30 and sin 30 is 1/2 so we replace them and write them as
2(cos30 cos23- sin30 sin 23)

therefore it is 2cos53 which is other wise can be written as 2(sin 37)
(cos(90 - theta) = sin theta)

Answer 2

Hii friend,

✓3 Cos 23° - Sin23°/2

= ✓3 Cos23°/ 2 - 1/2 Sin23°

= Cos30° Cos23° - Sin 30° Sin23°

= Cos(30+23°)

= Cos53° Ans.....


HOPE IT WILL HELP YOU.... :-)