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Popular >

4-4sin(pi/6)

Solution

4 - 4 sin (\frac{π}{6})

Solution

2

Solution steps

4 - 4 sin (\frac{π}{6})

Use the following trivial identity:

sin (\frac{π}{6}) = \frac{1}{2}

sin (\frac{π}{6})

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}

= \frac{1}{2}

= 4 - 4 \cdot \frac{1}{2}

Simplify

4 - 4 \cdot \frac{1}{2} : 2

4 - 4 \cdot \frac{1}{2}

4 \cdot \frac{1}{2} = 2

4 \cdot \frac{1}{2}

Multiply fractions:

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

= \frac{1 \cdot 4}{2}

Multiply the numbers:

1 \cdot 4 = 4

= \frac{4}{2}

Divide the numbers:

\frac{4}{2} = 2

= 2

= 4 - 2

Subtract the numbers:

4 - 2 = 2

= 2

= 2

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cos(29)*46.6*2*(22.5)/(9.8)

cos (2 9^{\circ}) \cdot 46.6 \cdot 2 \cdot \frac{22.5}{9.8}

Frequently Asked Questions (FAQ)

What is the value of 4-4sin(pi/6) ?
The value of 4-4sin(pi/6) is 2