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Popular >

sec(720)

Solution

sec (72 0^{\circ})

Solution

1

Solution steps

sec (72 0^{\circ})

sec (72 0^{\circ}) = sec (0)

sec (72 0^{\circ})

Rewrite

72 0^{\circ}

as

36 0^{\circ} \cdot 2 + 0

= sec (36 0^{\circ} 2 + 0)

Apply the periodicity of

sec

:

sec (x + 36 0^{\circ} \cdot k) = sec (x)

sec (36 0^{\circ} \cdot 2 + 0) = sec (0)

= sec (0)

= sec (0)

Use the following trivial identity:

sec (0) = 1

sec (0)

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}

= 1

= 1

Popular Examples

28 sin (10 0^{\circ})

arctan (- \frac{9}{9})

4 sin (7 0^{\circ})

tan (\frac{π}{18})

arccos(cos((-5pi)/6))

arccos (cos (\frac{- 5 π}{6}))

Frequently Asked Questions (FAQ)

What is the value of sec(720) ?
The value of sec(720) is 1