What is the value of 19.6cos(30) ?

The value of 19.6cos(30) is (49sqrt(3))/5

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19.6cos(30)

19.6 cos (3 0^{\circ})

\frac{49 3}{5}

Decimal Notation

16.97409 \dots

Solution steps

19.6 cos (3 0^{\circ})

= \frac{98}{5} cos (3 0^{\circ})

Use the following trivial identity:

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

cos (3 0^{\circ})

cos (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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{3}{2}

= \frac{98}{5} \cdot \frac{3}{2}

Simplify

\frac{98}{5} \cdot \frac{3}{2} : \frac{49 3}{5}

\frac{98}{5} \cdot \frac{3}{2}

Cross-cancel common factor:

2

= \frac{49}{5} \cdot \frac{3}{1}

Multiply fractions:

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

= \frac{49 3}{5 \cdot 1}

Multiply the numbers:

5 \cdot 1 = 5

= \frac{49 3}{5}

= \frac{49 3}{5}

tan (arccot (\frac{2 π}{3}))

\frac{sin ( \frac{π}{6} )}{cos ^{2} ( \frac{π}{6} )}

4 tan (3 7^{\circ}) + 3 tan (5 3^{\circ})

sinh (lo g_{10} (2) - lo g_{10} (5))

\frac{sin ^{4} ( 0 )}{4}