What is the value of 2cos(30)+sin(150)-tan(60) ?

The value of 2cos(30)+sin(150)-tan(60) is 1/2

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2cos(30)+sin(150)-tan(60)

2 cos (3 0^{\circ}) + sin (15 0^{\circ}) - tan (6 0^{\circ})

\frac{1}{2}

Decimal Notation

0.5

Solution steps

2 cos (3 0^{\circ}) + sin (15 0^{\circ}) - tan (6 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}

Use the following trivial identity:

sin (15 0^{\circ}) = \frac{1}{2}

sin (15 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:

tan (6 0^{\circ}) = 3

tan (6 0^{\circ})

tan (x)

periodicity table with

18 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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

= 3

= 2 \cdot \frac{3}{2} + \frac{1}{2} - 3

Simplify

2 \cdot \frac{3}{2} + \frac{1}{2} - 3 : \frac{1}{2}

2 \cdot \frac{3}{2} + \frac{1}{2} - 3

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

2 \cdot \frac{3}{2}

Multiply fractions:

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

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

Cancel the common factor:

2

= 3

= 3 + \frac{1}{2} - 3

Group like terms

= \frac{1}{2} + 3 - 3

Add similar elements:

3 - 3 = 0

= \frac{1}{2}

= \frac{1}{2}

2 sin (\frac{3 π}{11}) cos (\frac{3 π}{11})

19.32 cos (48.650 3^{\circ})

sec (- \frac{17 π}{6})

\frac{4 0 ^{2} cos ^{2} ( 4 0 ^{\circ} )}{9.81}

15 cos (5 5^{\circ})

What is the value of 2cos(30)+sin(150)-tan(60) ?
The value of 2cos(30)+sin(150)-tan(60) is 1/2