What is the value of (14sin(30))/(sin(90)) ?

The value of (14sin(30))/(sin(90)) is 7

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(14sin(30))/(sin(90))

\frac{14 sin ( 3 0 ^{\circ} )}{sin ( 9 0 ^{\circ} )}

7

Solution steps

\frac{14 sin ( 3 0 ^{\circ} )}{sin ( 9 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:

sin (9 0^{\circ}) = 1

sin (9 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}

= 1

= \frac{14 \cdot \frac{1}{2}}{1}

Simplify

\frac{14 \cdot \frac{1}{2}}{1} : 7

\frac{14 \cdot \frac{1}{2}}{1}

Multiply

14 \cdot \frac{1}{2} : 7

14 \cdot \frac{1}{2}

Multiply fractions:

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

= \frac{1 \cdot 14}{2}

Multiply the numbers:

1 \cdot 14 = 14

= \frac{14}{2}

Divide the numbers:

\frac{14}{2} = 7

= 7

= \frac{7}{1}

Apply rule

\frac{a}{1} = a

= 7

= 7

arccos (- 0.99275)

sin (2 5^{\circ}) \cdot 4

sin^{2} (\frac{π - 6}{3})

sec (\frac{π}{4}) csc (\frac{π}{4})

- 3 sin (- 4 5^{\circ})

What is the value of (14sin(30))/(sin(90)) ?
The value of (14sin(30))/(sin(90)) is 7