The value of sin (12 π) - radical 3 × cos (12 π)

The value of sin (12 π) - radical 3 × cos (12 π)

sin(π/12)-√3cos(π/12)
=2(1/2sin(π/12)-√3/2cos(π/12))
=2sin(π/12-π/3)
=2sin(-π/4)
=-√2

f(x)=cos²(π/6)+sinπ/6cosπ/6

F (x) = [cos (Pie / 6)] ^ 2 + sin (Pie / 6) cos (Pie / 6)
=[(radical 3) / 2] ^ 2 + [(1 / 2) * (radical 3) / 2]
=(3 / 4) + (radical 3) / 4
=(3 + radical 3) / 4

Find limit limx squared-5 / X squared-3, X approaching and positive infinity

Divide up and down by X & # 178;
Original formula = LIM (1-5 / X & # 178;) / (1-3 / X & # 178;)
=(1-0)/(1-0)
=1