What is the value of sqrt((12^2+7^2-2*12*7*cos(40))) ?

The value of sqrt((12^2+7^2-2*12*7*cos(40))) is 8.01901…

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sqrt((12^2+7^2-2127*cos(40)))

(1 2^{2} + 7^{2} - 2 \cdot 12 \cdot 7 \cdot cos (4 0^{\circ}))

8.01901 \dots

Solution steps

(1 2^{2} + 7^{2} - 2 \cdot 12 \cdot 7 cos (4 0^{\circ}))

Refine to a decimal form

= 8.01901 \dots

cos (2 arccos (\frac{3}{4}) - arccos (\frac{1}{8}))

arcsin (\frac{sin ( 2 5 ^{\circ} )}{1.51})

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

cos (arctan (\frac{40}{9}) + arccos (\frac{7}{25}))

cos (17 2^{\circ})

What is the value of sqrt((12^2+7^2-2*12*7*cos(40))) ?
The value of sqrt((12^2+7^2-2*12*7*cos(40))) is 8.01901…