en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2sin(30)-1

Solution

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

Solution

0

Solution steps

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

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}

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

Simplify

2 \cdot \frac{1}{2} - 1 : 0

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

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

= 1 - 1

Subtract the numbers:

1 - 1 = 0

= 0

= 0

Popular Examples

1+0.1*(1.5)/2*tan(60)

1 + 0.1 \cdot \frac{1.5}{2} \cdot tan (6 0^{\circ})

cot (34 5^{\circ})

arcsin (- 2.41)

sin(-pi/4)+cos(-pi/4)

sin (- \frac{π}{4}) + cos (- \frac{π}{4})

tan(-225)+tan(405)

tan (- 22 5^{\circ}) + tan (40 5^{\circ})

Frequently Asked Questions (FAQ)

What is the value of 2sin(30)-1 ?
The value of 2sin(30)-1 is 0