Izrēķināt
\frac{\sqrt{2}}{2}\approx 0,707106781
Koplietot
Kopēts starpliktuvē
\sin(90+45)=\sin(90)\cos(45)+\sin(45)\cos(90)
Use \sin(x+y)=\sin(x)\cos(y)+\sin(y)\cos(x) where x=90 and y=45 to obtain the result.
1\cos(45)+\sin(45)\cos(90)
Get the value of \sin(90) from trigonometric values table.
1\times \frac{\sqrt{2}}{2}+\sin(45)\cos(90)
Get the value of \cos(45) from trigonometric values table.
1\times \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\cos(90)
Get the value of \sin(45) from trigonometric values table.
1\times \frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}\times 0
Get the value of \cos(90) from trigonometric values table.
\frac{\sqrt{2}}{2}
Veiciet aprēķinus.
Piemēri
Kvadrātiskais vienādojums
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometrija
4 \sin \theta \cos \theta = 2 \sin \theta
Lineārs vienādojums
y = 3x + 4
Aritmētika
699 * 533
Matricas
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Vienlaicīgs vienādojums
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Diferencēšana
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integrācija
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Ierobežojumus
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}