What is the value of -2sin^3(0)cos(0)+3*0-3/2 sin(0) ?

The value of -2sin^3(0)cos(0)+3*0-3/2 sin(0) is 0

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-2sin^3(0)cos(0)+3*0-3/2 sin(0)

- 2 sin^{3} (0) cos (0) + 3 \cdot 0 - \frac{3}{2} sin (0)

0

Solution steps

- 2 sin^{3} (0) cos (0) + 3 \cdot 0 - \frac{3}{2} sin (0)

Use the following trivial identity:

sin (0) = 0

sin (0)

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}

= 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

= - 2 \cdot 0^{3} \cdot 1 + 3 \cdot 0 - \frac{3}{2} \cdot 0

Simplify

= 0

arctan (\frac{3.3}{9.8} + 0.4)

sin (12 9^{\circ})

3 + 2 sin (- \frac{π}{3})

arccos (\frac{24}{46 59})

csc (2 9^{\circ})

What is the value of -2sin^3(0)cos(0)+3*0-3/2 sin(0) ?
The value of -2sin^3(0)cos(0)+3*0-3/2 sin(0) is 0