What is the value of (sin(30))(cot(30))(tan(30)) ?

The value of (sin(30))(cot(30))(tan(30)) is 1/2

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(sin(30))(cot(30))(tan(30))

(sin (3 0^{\circ})) (cot (3 0^{\circ})) (tan (3 0^{\circ}))

\frac{1}{2}

Decimal

0.5

Solution steps

(sin (3 0^{\circ})) (cot (3 0^{\circ})) (tan (3 0^{\circ}))

= sin (3 0^{\circ}) cot (3 0^{\circ}) tan (3 0^{\circ})

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}

Use the following trivial identity:

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

cot (3 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

= 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}

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

Simplify

\frac{1}{2} 3 \frac{3}{3} : \frac{1}{2}

\frac{1}{2} 3 \frac{3}{3}

Multiply fractions:

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

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

1 \cdot 33 = 3

1 \cdot 33

Apply radical rule:

a a = a

33 = 3

= 1 \cdot 3

Multiply the numbers:

1 \cdot 3 = 3

= 3

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

Multiply the numbers:

2 \cdot 3 = 6

= \frac{3}{6}

Cancel the common factor:

3

= \frac{1}{2}

= \frac{1}{2}

What is the value of (sin(30))(cot(30))(tan(30)) ?
The value of (sin(30))(cot(30))(tan(30)) is 1/2