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\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}
Faceți calculele.