What is the value of (tan(45))/(sin(30)sin(30)) ?

The value of (tan(45))/(sin(30)sin(30)) is 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(tan(45))/(sin(30)sin(30))

\frac{tan ( 4 5 ^{\circ} )}{sin ( 3 0 ^{\circ} ) sin ( 3 0 ^{\circ} )}

4

Solution steps

\frac{tan ( 4 5 ^{\circ} )}{sin ( 3 0 ^{\circ} ) sin ( 3 0 ^{\circ} )}

Use the following trivial identity:

tan (4 5^{\circ}) = 1

tan (4 5^{\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}

= 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}

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

Simplify

\frac{1}{\frac{1}{2} \cdot \frac{1}{2}} : 4

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

Multiply

\frac{1}{2} \cdot \frac{1}{2} : \frac{1}{4}

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

Multiply fractions:

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

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

Multiply the numbers:

1 \cdot 1 = 1

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

Multiply the numbers:

2 \cdot 2 = 4

= \frac{1}{4}

= \frac{1}{\frac{1}{4}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{4}{1}

Apply rule

\frac{a}{1} = a

= 4

= 4

arccos (0.63245)

\frac{1}{sin ( \frac{5 π}{4} )}

cos (π) - 2 cos (2 π)

e^{9.3} (- sin (9.3) + cos (9.3))

\frac{2 ( cos ( \frac{π}{2} ) + i sin ( \frac{π}{2} ) )}{\frac{1}{2} ( cos ( \frac{π}{4} ) + i sin ( \frac{π}{4} ) )}

What is the value of (tan(45))/(sin(30)sin(30)) ?
The value of (tan(45))/(sin(30)sin(30)) is 4