Solve 640^2 =600^2 600^2-2(600)(600)cosx

Evaluate

64 0^{2} = 60 0^{2} \times 60 0^{2} - 2 \times 600 \times 600 cos (x)

Simplify

More Steps

64 0^{2} = 60 0^{4} - 720000 cos (x)

Swap the sides of the equation

60 0^{4} - 720000 cos (x) = 64 0^{2}

Move the constant to the right-hand side and change its sign

- 720000 cos (x) = 64 0^{2} - 60 0^{4}

Change the signs on both sides of the equation

720000 cos (x) = - 64 0^{2} + 60 0^{4}

Divide both sides

\frac{720000 cos ( x )}{720000} = \frac{- 64 0 ^{2} + 60 0 ^{4}}{720000}

Divide the numbers

cos (x) = \frac{- 64 0 ^{2} + 60 0 ^{4}}{720000}

Divide the numbers

More Steps

cos (x) = \frac{- 128 + 32 \times 112 5 ^{2}}{225}

Solution

x \in / R

Alternative Form

No real solution

Solve the equation