What is the value of 1.5*tan(30) ?

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

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1.5*tan(30)

1.5 \cdot tan (3 0^{\circ})

\frac{3}{2}

Decimal Notation

0.86602 \dots

Solution steps

1.5 tan (3 0^{\circ})

= \frac{3}{2} 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}

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

Simplify

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

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

Cross-cancel:

3

= \frac{3}{2}

= \frac{3}{2}

tan (12 7^{\circ})

e^{t a n (0)} sec^{2} (0)

\frac{100}{tan ( 7 5 ^{\circ} )}

60 \cdot sin (6 0^{\circ})

sin (13 9^{\circ})