What is the value of 15tan(30) ?

The value of 15tan(30) is 5sqrt(3)

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15tan(30)

15 tan (3 0^{\circ})

53

Decimal Notation

8.66025 \dots

Solution steps

15 tan (3 0^{\circ})

Use the following trivial identity:

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

tan (3 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}

= \frac{3}{3}

= 15 \cdot \frac{3}{3}

Simplify

15 \cdot \frac{3}{3} : 53

15 \cdot \frac{3}{3}

Multiply fractions:

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

= \frac{3 \cdot 15}{3}

Divide the numbers:

\frac{15}{3} = 5

= 53

= 53

tan (\frac{\frac{π}{2}}{2}) - csc (\frac{π}{2})

\frac{2}{3 \cdot ( 0.2285 6 ^{2} ) \cdot sin ( 6 0 ^{\circ} )}

tan^{2} (5 9^{\circ})

5 sin^{2} (\frac{3 π}{2}) + 3 cos^{2} (4 π) - 7 tan (\frac{π}{4})

sin^{2} (6 5^{\circ})