What is the value of 75*cos(30) ?

The value of 75*cos(30) is (75sqrt(3))/2

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75*cos(30)

75 \cdot cos (3 0^{\circ})

\frac{75 3}{2}

Decimal Notation

64.95190 \dots

Solution steps

75 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}

= 75 \cdot \frac{3}{2}

Simplify

75 \cdot \frac{3}{2} : \frac{75 3}{2}

75 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 75}{2}

= \frac{75 3}{2}

\frac{cos ( 6 0 ^{\circ} ) + sin ( 3 0 ^{\circ} )}{4}

\frac{100}{tan ( 4 0 ^{\circ} )}

sin (6 0^{\circ}) cos (6 0^{\circ}) tan (6 0^{\circ}) cot (6 0^{\circ}) sec (6 0^{\circ}) csc (6 0^{\circ})

arcsin (\frac{sin ( 35. 5 ^{\circ} )}{1.333})

10 sin (\frac{π}{6} 5)