No please. It is not correct to calculate sin30 - cos60 as
30 - 60. The concept is totally different.
If ABC is a
right angled triangle with right angle at B, then sine and cosine ratios are defined
as below:
sin A = Opposite angle / hypotenuse =
BC/AC
cosC = Adjascent angle/hypotenuse
= BC/AC.
Therefore in a right angled triangle if A = x,
then C = (90-x) .
Therefore sin A =
sinx
sinx = BC/AC...(1).
cosC
= cos(90-x).
cos(90-x) =
BC/AC....(2)
Therefore from (1) and (2) we
get:
sinx =
cos(90-x)....(3).
If we put x= 30 in eq (3), we
get:
sin30 = cos(90-30) =
cos60.
Therefore, sin30 - cos60 =
0..
Therefore sin30 -cos60 = 0 and it is not 30
-60.
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