What is the value of 1+0.1*(1.5)/2*tan(60) ?

The value of 1+0.1*(1.5)/2*tan(60) is 1+(3sqrt(3))/(40)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

1 + \frac{3 3}{40}

Decimal Notation

1.12990 \dots

Solution steps

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

= 1 + \frac{1}{10} \cdot \frac{\frac{3}{2}}{2} tan (6 0^{\circ})

Use the following trivial identity:

tan (6 0^{\circ}) = 3

tan (6 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}

= 3

= 1 + \frac{1}{10} \cdot \frac{\frac{3}{2}}{2} 3

Simplify

1 + \frac{1}{10} \cdot \frac{\frac{3}{2}}{2} 3 : 1 + \frac{3 3}{40}

1 + \frac{1}{10} \cdot \frac{\frac{3}{2}}{2} 3

\frac{1}{10} \cdot \frac{\frac{3}{2}}{2} 3 = \frac{3 3}{40}

\frac{1}{10} \cdot \frac{\frac{3}{2}}{2} 3

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

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

Apply the fraction rule:

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

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{3}{4}

= 3 \frac{3}{4} \cdot \frac{1}{10}

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}{10 \cdot 4}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{3 3}{10 \cdot 4}

Multiply the numbers:

10 \cdot 4 = 40

= \frac{3 3}{40}

= 1 + \frac{3 3}{40}

= 1 + \frac{3 3}{40}

cot (34 5^{\circ})

arcsin (- 2.41)

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

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

\frac{sin ( 4 0 ^{\circ} )}{sin ( 2 0 ^{\circ} )}

What is the value of 1+0.1*(1.5)/2*tan(60) ?
The value of 1+0.1*(1.5)/2*tan(60) is 1+(3sqrt(3))/(40)