What is the value of csc(30)-sec(30) ?

The value of csc(30)-sec(30) is 2-(2sqrt(3))/3

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csc(30)-sec(30)

csc (3 0^{\circ}) - sec (3 0^{\circ})

2 - \frac{2 3}{3}

Decimal Notation

0.84529 \dots

Solution steps

csc (3 0^{\circ}) - sec (3 0^{\circ})

Use the following trivial identity:

csc (3 0^{\circ}) = 2

csc (3 0^{\circ})

csc (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} csc (x) Undefiend 22 \frac{2 3}{3} 1 \frac{2 3}{3} 22 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} csc (x) Undefiend - 2 - 2 - \frac{2 3}{3} - 1 - \frac{2 3}{3} - 2 - 2

= 2

Use the following trivial identity:

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

sec (3 0^{\circ})

sec (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} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} 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} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

= \frac{2 3}{3}

= 2 - \frac{2 3}{3}

tan (2 arcsin (\frac{3}{5}))

csc (- \frac{5 π}{2})

\frac{11}{cos ( 3 7 ^{\circ} )}

sec (2 7^{\circ})

\frac{8.8}{tan ( 7 2 ^{\circ} )}

What is the value of csc(30)-sec(30) ?
The value of csc(30)-sec(30) is 2-(2sqrt(3))/3