simplify sin(90)-a

Solution

simplify

sin (9 0^{\circ}) - a

1 - a

Solution steps

sin (9 0^{\circ}) - a

Use the following trivial identity:

sin (9 0^{\circ}) = 1

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1 - a

\frac{{ ( x - \frac{1}{2} ) ^{2} - \frac{21}{4} }}{( x - 1 - \frac{2}{x} )}

\frac{- 9 - 3 x ( - 3 ) + [ - 3 + 11 x ( - 3 ) ]}{2}

12 x^{5} y^{3} - 4 x^{2} y^{2}

- 273.1 5^{0} c

- 5 y - 5 y^{2}