What is the value of cot(60)+tan(30)-(sin(30))/2 ?

The value of cot(60)+tan(30)-(sin(30))/2 is (2sqrt(3))/3-1/4

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cot(60)+tan(30)-(sin(30))/2

cot (6 0^{\circ}) + tan (3 0^{\circ}) - \frac{sin ( 3 0 ^{\circ} )}{2}

\frac{2 3}{3} - \frac{1}{4}

Decimal Notation

0.90470 \dots

Solution steps

cot (6 0^{\circ}) + tan (3 0^{\circ}) - \frac{sin ( 3 0 ^{\circ} )}{2}

Use the following trivial identity:

cot (6 0^{\circ}) = \frac{3}{3}

cot (6 0^{\circ})

cot (x)

periodicity table with

18 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= \frac{3}{3}

Use the following trivial identity:

tan (3 0^{\circ}) = \frac{3}{3}

tan (3 0^{\circ})

tan (x)

periodicity table with

18 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= \frac{3}{3}

Use the following trivial identity:

sin (3 0^{\circ}) = \frac{1}{2}

sin (3 0^{\circ})

sin (x)

periodicity table with

36 0^{\circ} n

cycle:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} 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}

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

Simplify

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

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

Combine the fractions

\frac{3}{3} + \frac{3}{3} : \frac{2 3}{3}

Apply rule

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

= \frac{3 + 3}{3}

Add similar elements:

3 + 3 = 23

= \frac{2 3}{3}

= \frac{2 3}{3} - \frac{\frac{1}{2}}{2}

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

\frac{\frac{1}{2}}{2}

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{4}

= \frac{2 3}{3} - \frac{1}{4}

= \frac{2 3}{3} - \frac{1}{4}

7 \cdot sin (4 0^{\circ})

2 π - arctan (\frac{2}{3})

arcsin (\frac{14}{23})

sec (\frac{15 π}{2})

\frac{( 5 \cdot sin ( 0.01 \cdot 252.8 + \frac{π}{2} ) )}{2}

What is the value of cot(60)+tan(30)-(sin(30))/2 ?
The value of cot(60)+tan(30)-(sin(30))/2 is (2sqrt(3))/3-1/4