What is the value of (0^3+pi)/(0+cos(0)) ?

The value of (0^3+pi)/(0+cos(0)) is pi

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(0^3+pi)/(0+cos(0))

\frac{0 ^{3} + π}{0 + cos ( 0 )}

π

Decimal Notation

3.14159 \dots

Solution steps

\frac{0 ^{3} + π}{0 + cos ( 0 )}

Use the following trivial identity:

cos (0) = 1

cos (0)

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

= \frac{0 ^{3} + π}{0 + 1}

Simplify

= π

arctan (\frac{74}{43})

22 cos (\frac{π}{4})

\frac{1}{2} (\frac{15}{sin ( 5 0 ^{\circ} )}) (15)

tan (arcsin (\frac{12}{13}) + arccos (- 1))

sin (π^{4})

What is the value of (0^3+pi)/(0+cos(0)) ?
The value of (0^3+pi)/(0+cos(0)) is pi