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 find a reference angle to five pie over eight and fill in the calculations as well

Find A Reference Angle To Five Pie Over Eight And Fill In The Calculations As Well class=

Sagot :

alpha = PI - 5/8 PI

alpha = 3/8 PI

The angle 5/8 Pi is found in the second quadrant.

The reference angle for any angle (A) in the second quadrant is given by

[tex]\begin{gathered} A_r=180-A \\ \\ A_r=\pi-A\text{ (In radian)} \end{gathered}[/tex]

Therefore, we can solve for 5/8 Pi:

[tex]\begin{gathered} A_r=\pi-\frac{5}{8}\pi \\ \therefore A_r=\frac{3}{8}\pi \end{gathered}[/tex]

But in order to put it in the box in the question:

[tex]\begin{gathered} \alpha=PI\text{ - }\frac{5\pi}{8} \\ \\ \alpha=\frac{3}{8}\text{ PI} \end{gathered}[/tex]

alpha = PI - 5/8 PI

alpha = 3/8 PI

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