Answer:
0
Simplify trigonometry:
[tex]\frac{cos\ \pi+sin(\frac{\pi}{4})}{sec\ (\frac{\pi}{4})}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}[/tex]
Evaluate the expression
[tex]\frac{-1+sin(\frac{\pi}{2})}{sec\ (\frac{\pi}{4})}+\frac{tan\ (\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{sec\ (\frac{\pi}{4})}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos(\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{tan(\frac{\pi}{4})-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-cos\ 0}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-1}{cos\ (\frac{\pi}{4})}\\ \frac{-1+1}{\sqrt2}+\frac{1-1}{\frac{\sqrt2}{2}}[/tex]
Apply the Inverse Property of Addition
[tex]\frac{0}{\sqrt2}+\frac{0}{\frac{\sqrt2}{2}}[/tex]
Apply Zero Property of Multiplication
[tex]0[/tex]
I hope this helps you
:)
