Solve sqrt{(550)^2}=(540)^2*cos^2(20)

$$\sqrt { ( 550 ) ^ { 2 } } = ( 540 ) ^ { 2 } \times \cos ^ { 2 } ( 20 )$$

Verify

Solution Steps

Evaluate trigonometric functions in the problem

$$\sqrt{{(550)} ^ {2}} = {(540)} ^ {2} \cdot 0.9396926207859084 ^ {2}$$

Calculate 550 to the power of 2 and get 302500.

$$\sqrt{302500}=540^{2}\times 0.9396926207859084^{2}$$

Calculate the square root of 302500 and get 550.

$$550=540^{2}\times 0.9396926207859084^{2}$$

Calculate 540 to the power of 2 and get 291600.

$$550=291600\times 0.9396926207859084^{2}$$

Calculate 0.9396926207859084 to the power of 2 and get 0.88302222155948904756966801319056.

$$550=291600\times 0.88302222155948904756966801319056$$

Multiply 291600 and 0.88302222155948904756966801319056 to get 257489.279806747006271315192646367296.

$$550=257489.279806747006271315192646367296$$

Compare 550 and 257489.279806747006271315192646367296.

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