What is the value of 45*cos(30) ?

The value of 45*cos(30) is (45sqrt(3))/2

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45*cos(30)

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

\frac{45 3}{2}

Decimal Notation

38.97114 \dots

Solution steps

45 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}

= 45 \cdot \frac{3}{2}

Simplify

45 \cdot \frac{3}{2} : \frac{45 3}{2}

45 \cdot \frac{3}{2}

Multiply fractions:

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

= \frac{3 \cdot 45}{2}

= \frac{45 3}{2}

sec (6 0^{\circ}) - sin (3 0^{\circ}) + cot (4 5^{\circ})

arcsec (\frac{1.46}{1.47})

8 e^{8 (1 - 1)} sec^{2} (e^{8 (1 - 1)}) - 8 e^{8 (1 - 1)}

tan (\frac{4}{6})

arcsin (- \frac{1}{5})