What is the value of (sin(30))(cot(30))(sec(30)) ?

The value of (sin(30))(cot(30))(sec(30)) is 1

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(sin(30))(cot(30))(sec(30))

(sin (3 0^{\circ})) (cot (3 0^{\circ})) (sec (3 0^{\circ}))

1

Solution steps

(sin (3 0^{\circ})) (cot (3 0^{\circ})) (sec (3 0^{\circ}))

= sin (3 0^{\circ}) cot (3 0^{\circ}) sec (3 0^{\circ})

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}

Use the following trivial identity:

cot (3 0^{\circ}) = 3

cot (3 0^{\circ})

cot (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} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= 3

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}

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

Simplify

\frac{1}{2} 3 \frac{2 3}{3} : 1

\frac{1}{2} 3 \frac{2 3}{3}

Multiply fractions:

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

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

Cancel the common factor:

2

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

1 \cdot 33 = 3

1 \cdot 33

Apply radical rule:

a a = a

33 = 3

= 1 \cdot 3

Multiply the numbers:

1 \cdot 3 = 3

= 3

= \frac{3}{3}

Apply rule

\frac{a}{a} = 1

= 1

= 1

arccos (\frac{4.4}{8})

\frac{9 sin ( - 0.1 )}{- 0.1}

\frac{0.8}{cos ( 4 1 ^{\circ} )}

cos (143.1 3^{\circ})

arctan (\frac{- \frac{3}{2}}{- \frac{1}{2}})

What is the value of (sin(30))(cot(30))(sec(30)) ?
The value of (sin(30))(cot(30))(sec(30)) is 1