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Popular Trigonometry >

30cos(150)

Solution

30 cos (15 0^{\circ})

Solution

- 153

+1

Decimal

- 25.98076 \dots

Solution steps

30 cos (15 0^{\circ})

Use the following trivial identity:

cos (15 0^{\circ}) = - \frac{3}{2}

cos (15 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}

= 30 (- \frac{3}{2})

Simplify

30 (- \frac{3}{2}) : - 153

30 (- \frac{3}{2})

Remove parentheses:

(- a) = - a

= - 30 \cdot \frac{3}{2}

Multiply fractions:

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

= - \frac{3 \cdot 30}{2}

Divide the numbers:

\frac{30}{2} = 15

= - 153

= - 153

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arcsin((5.93)/(12.02))

sin(-(7pi)/6)+cos(-pi/4)

Frequently Asked Questions (FAQ)

What is the value of 30cos(150) ?
The value of 30cos(150) is -15sqrt(3)