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Popular >

-2sin(pi/6)

Solution

- 2 sin (\frac{π}{6})

Solution

- 1

Solution steps

- 2 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}

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

Simplify

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

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

Convert element to fraction:

2 = \frac{2}{1}

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

Cross-cancel:

2

= - 1

= - 1

Popular Examples

csc (- 21 0^{\circ})

tan (0.1)

cos(-(11pi)/(12))

cos (- \frac{11 π}{12})

arctan((4sqrt(3))/4)

arctan (\frac{4 3}{4})

sec (\frac{13 π}{4})

Frequently Asked Questions (FAQ)

What is the value of -2sin(pi/6) ?
The value of -2sin(pi/6) is -1