What is the value of sqrt(cos(pi/2)) ?

The value of sqrt(cos(pi/2)) is 0

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sqrt(cos(pi/2))

cos (\frac{π}{2})

0

Solution steps

cos (\frac{π}{2})

Use the following trivial identity:

cos (\frac{π}{2}) = 0

cos (\frac{π}{2})

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}

= 0

= 0

Simplify

= 0

\frac{784}{2 ( sin ( 1 0 ^{\circ} ) )}

cos (π (- 8.3 - 5.4)) + sin (π (8.3 - 5.4))

arcsin (\frac{1}{1.53})

lo g_{2} (sec (\frac{π}{4}))

sin (20 0^{\circ}) cos (8 0^{\circ}) - cos (20 0^{\circ}) sin (8 0^{\circ})