What is the value of 3cos(pi)+pi^{5/4} ?

The value of 3cos(pi)+pi^{5/4} is -3+pi^{5/4}

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3cos(pi)+pi^{5/4}

3 cos (π) + π^{\frac{5}{4}}

- 3 + π^{\frac{5}{4}}

Decimal Notation

1.18251 \dots

Solution steps

3 cos (π) + π^{\frac{5}{4}}

Use the following trivial identity:

cos (π) = (- 1)

cos (π)

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= (- 1)

= 3 (- 1) + π^{\frac{5}{4}}

Simplify

= - 3 + π^{\frac{5}{4}}

csc (\frac{- 11 π}{4})

cos (\frac{7 π}{4}) + i sin (\frac{7 π}{4})

arctan (\frac{13}{6})

arctan (- 21)

arccos (\frac{10}{14})

What is the value of 3cos(pi)+pi^{5/4} ?
The value of 3cos(pi)+pi^{5/4} is -3+pi^{5/4}