What is the value of (2*2cos(30))-1.5 ?

The value of (2*2cos(30))-1.5 is 2sqrt(3)-3/2

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(2*2cos(30))-1.5

(2 \cdot 2 cos (3 0^{\circ})) - 1.5

23 - \frac{3}{2}

Decimal Notation

1.96410 \dots

Solution steps

(2 \cdot 2 cos (3 0^{\circ})) - 1.5

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

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}

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

Simplify

2 \cdot 2 \cdot \frac{3}{2} - \frac{3}{2} : 23 - \frac{3}{2}

2 \cdot 2 \cdot \frac{3}{2} - \frac{3}{2}

2 \cdot 2 \cdot \frac{3}{2} = 23

2 \cdot 2 \cdot \frac{3}{2}

Multiply fractions:

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

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

Cancel the common factor:

2

= 3 \cdot 2

= 23 - \frac{3}{2}

= 23 - \frac{3}{2}

csc (- 135 0^{\circ})

10 cos (12 0^{\circ})

cos (32. 9^{\circ})

6 tan (3 7^{\circ})

sin (\frac{3 \cdot π}{4})

What is the value of (2*2cos(30))-1.5 ?
The value of (2*2cos(30))-1.5 is 2sqrt(3)-3/2