What is the value of sqrt((100^2+120^2-2*100*120*cos(60))) ?

The value of sqrt((100^2+120^2-2*100*120*cos(60))) is 20sqrt(31)

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sqrt((100^2+120^2-2100120*cos(60)))

(10 0^{2} + 12 0^{2} - 2 \cdot 100 \cdot 120 \cdot cos (6 0^{\circ}))

2031

Solution steps

(10 0^{2} + 12 0^{2} - 2 \cdot 100 \cdot 120 cos (6 0^{\circ}))

= 10 0^{2} + 12 0^{2} - 2 \cdot 100 \cdot 120 cos (6 0^{\circ})

Use the following trivial identity:

cos (6 0^{\circ}) = \frac{1}{2}

= 10 0^{2} + 12 0^{2} - 2 \cdot 100 \cdot 120 \cdot \frac{1}{2}

Simplify

10 0^{2} + 12 0^{2} - 2 \cdot 100 \cdot 120 \cdot \frac{1}{2} : 2031

= 2031

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

5 \cdot cos (5 3^{\circ})

tan (\frac{6}{7})

- 5 cos (- \frac{π}{6})

arctan (\frac{1}{11}) + arctan (11)

What is the value of sqrt((100^2+120^2-2*100*120*cos(60))) ?
The value of sqrt((100^2+120^2-2*100*120*cos(60))) is 20sqrt(31)