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Popular >

3+2sin(pi/6)

Solution

3 + 2 sin (\frac{π}{6})

Solution

4

Solution steps

3 + 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}

= 3 + 2 \cdot \frac{1}{2}

Simplify

3 + 2 \cdot \frac{1}{2} : 4

3 + 2 \cdot \frac{1}{2}

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

2 \cdot \frac{1}{2}

Multiply fractions:

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

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

Cancel the common factor:

2

= 1

= 3 + 1

Add the numbers:

3 + 1 = 4

= 4

= 4

Popular Examples

1-2sin^2((5pi)/(12))

1 - 2 sin^{2} (\frac{5 π}{12})

4 sin (\frac{1}{4})

(tan(pi/4)+tan(pi/6))/(1-tan(pi/4)tan(pi/6))

\frac{tan ( \frac{π}{4} ) + tan ( \frac{π}{6} )}{1 - tan ( \frac{π}{4} ) tan ( \frac{π}{6} )}

arctan (\frac{13}{20})

sin(30)tan(45)+tan(30)sin(60)

sin (3 0^{\circ}) tan (4 5^{\circ}) + tan (3 0^{\circ}) sin (6 0^{\circ})

Frequently Asked Questions (FAQ)

What is the value of 3+2sin(pi/6) ?
The value of 3+2sin(pi/6) is 4