Solve c^2+30^2+21^2-2(30)(21)cos(61)

$$c ^ { 2 } + 30 ^ { 2 } + 21 ^ { 2 } - 2 ( 30 ) ( 21 ) \cos ( 61 )$$

Evaluate

$$c^{2}+730.139878489615254$$

Solution Steps

Evaluate trigonometric functions in the problem

$$c ^ {2} + 30 ^ {2} + 21 ^ {2} - 2 {(30)} {(21)} \cdot 0.4848096202463371$$

Calculate 30 to the power of 2 and get 900.

$$c^{2}+900+21^{2}-2\times 30\times 21\times 0.4848096202463371$$

Calculate 21 to the power of 2 and get 441.

$$c^{2}+900+441-2\times 30\times 21\times 0.4848096202463371$$

Add 900 and 441 to get 1341.

$$c^{2}+1341-2\times 30\times 21\times 0.4848096202463371$$

Multiply 2 and 30 to get 60.

$$c^{2}+1341-60\times 21\times 0.4848096202463371$$

Multiply 60 and 21 to get 1260.

$$c^{2}[phone]\times 0.4848096202463371$$

Multiply 1260 and 0.4848096202463371 to get 610.860121510384746.

$$c^{2}+1341-610.860121510384746$$

Subtract 610.860121510384746 from 1341 to get 730.139878489615254.

$$c^{2}+730.139878489615254$$

Factor

$$\frac{500000000000000c^{2}+365069939244807627}{500000000000000}$$