What is the value of tan(30)*22.5 ?

The value of tan(30)*22.5 is (15sqrt(3))/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

tan(30)*22.5

tan (3 0^{\circ}) \cdot 22.5

\frac{15 3}{2}

Decimal Notation

12.99038 \dots

Solution steps

tan (3 0^{\circ}) \cdot 22.5

= tan (3 0^{\circ}) \frac{45}{2}

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{3}{3} \cdot \frac{45}{2}

Simplify

\frac{3}{3} \cdot \frac{45}{2} : \frac{15 3}{2}

\frac{3}{3} \cdot \frac{45}{2}

Cross-cancel common factor:

3

= \frac{3}{1} \cdot \frac{15}{2}

Multiply fractions:

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

= \frac{3 \cdot 15}{1 \cdot 2}

Multiply the numbers:

1 \cdot 2 = 2

= \frac{15 3}{2}

= \frac{15 3}{2}

sinh (0) - 0

sin (41 0^{\circ})

tan^{2} (3 7^{\circ})

\frac{1000 \cdot sin ( 4 )}{sin ( 6 1 ^{\circ} )}

- 3 cot (\frac{3 π}{4}) csc (\frac{3 π}{4})