What is the value of 350000csc(pi/(30)*5) ?

The value of 350000csc(pi/(30)*5) is 700000

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350000csc(pi/(30)*5)

350000 csc (\frac{π}{30} \cdot 5)

700000

Solution steps

350000 csc (\frac{π}{30} \cdot 5)

Simplify:

\frac{π}{30} \cdot 5 = \frac{π}{6}

\frac{π}{30} \cdot 5

Multiply fractions:

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

= \frac{π 5}{30}

Cancel the common factor:

5

= \frac{π}{6}

= 350000 csc (\frac{π}{6})

Use the following trivial identity:

csc (\frac{π}{6}) = 2

csc (\frac{π}{6})

csc (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

= 2

= 350000 \cdot 2

Simplify

= 700000

cos (arctan (\frac{1}{3}))

cos (arctan (6))

cos (116 6^{\circ})

\frac{tan ( 4 5 ^{\circ} )}{2}

arcsec (1.6)

What is the value of 350000csc(pi/(30)*5) ?
The value of 350000csc(pi/(30)*5) is 700000