What is the value of 3(sin(30))-cot(45) ?

The value of 3(sin(30))-cot(45) is 1/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3(sin(30))-cot(45)

3 (sin (3 0^{\circ})) - cot (4 5^{\circ})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

3 (sin (3 0^{\circ})) - cot (4 5^{\circ})

= 3 sin (3 0^{\circ}) - cot (4 5^{\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 (4 5^{\circ}) = 1

cot (4 5^{\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

= 1

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

Simplify

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

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

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

3 \cdot \frac{1}{2}

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3}{2}

= \frac{3}{2} - 1

Convert element to fraction:

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

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

Since the denominators are equal, combine the fractions:

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

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

- 1 \cdot 2 + 3 = 1

- 1 \cdot 2 + 3

Multiply the numbers:

1 \cdot 2 = 2

= - 2 + 3

Add/Subtract the numbers:

- 2 + 3 = 1

= 1

= \frac{1}{2}

= \frac{1}{2}

cos (arctan (- \frac{10}{3}))

sin (35. 5^{\circ})

cos (5 0^{\circ}) + sin (5 0^{\circ})

58 \cdot sin (- 0.933)

cos^{2} (3) + sin^{2} (3)

What is the value of 3(sin(30))-cot(45) ?
The value of 3(sin(30))-cot(45) is 1/2