What is the value of 1500*9.81*sin(pi/2) ?

The value of 1500*9.81*sin(pi/2) is 14715

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15009.81sin(pi/2)

1500 \cdot 9.81 \cdot sin (\frac{π}{2})

14715

Solution steps

1500 \cdot 9.81 sin (\frac{π}{2})

= 1500 \cdot \frac{981}{100} sin (\frac{π}{2})

Use the following trivial identity:

sin (\frac{π}{2}) = 1

sin (\frac{π}{2})

sin (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} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{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} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= 1500 \cdot \frac{981}{100} \cdot 1

Simplify

1500 \cdot \frac{981}{100} \cdot 1 : 14715

1500 \cdot \frac{981}{100} \cdot 1

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= 1 \cdot \frac{981 \cdot 1500}{100}

\frac{981 \cdot 1500}{100} = 14715

\frac{981 \cdot 1500}{100}

Multiply the numbers:

981 \cdot 1500 = 1471500

= \frac{1471500}{100}

Divide the numbers:

\frac{1471500}{100} = 14715

= 14715

= 1 \cdot 14715

Multiply the numbers:

1 \cdot 14715 = 14715

= 14715

= 14715

sec (2049 8^{\circ})

\frac{π}{2} + sin (\frac{π}{2})

\frac{sin ( 3 0 ^{\circ} )}{1 + cos ( 3 0 ^{\circ} )}

2 sin (8^{\circ})

cos (- 8 π)

What is the value of 1500*9.81*sin(pi/2) ?
The value of 1500*9.81*sin(pi/2) is 14715