What is the solution for √(4800)=√((80cos ̂)^2+(80sin ̂)^2)?

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The equation √(4800) = √((80cos ̂)^2 + (80sin ̂)^2) is incorrect because it simplifies to 4800/6400 = (cos ̂)^2 + (sin ̂)^2, which does not equal 1. The identity sin²(x) + cos²(x) = 1 holds true for all x, but the left side does not satisfy this condition. The discussion also touches on rearranging similar equations to isolate the angle ̂, but emphasizes that for the equation to hold true, x must equal 1. Overall, the original equation is fundamentally flawed.
brandy
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my problem is this: √(4800)=√((80cos ̂)^2+(80sin ̂)^2)
pretty simple i no but i still keep making mistakes somewhere.
i can get it down to: 4800/6400=(cos ̂)^2 + (sin ̂)^2
but then i get a little stuck.
by the way ̂=thetre=unkown angle.
good luck
i need it.
 
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It's false... sin2(x) + cos2(x) = 1 for all values of x and 4800/6400 is not equal to 1, thus the equation is simply false.
 
d_leet said:
It's false... sin2(x) + cos2(x) = 1 for all values of x and 4800/6400 is not equal to 1, thus the equation is simply false.

yea i figured that out just before. oops. mybad. but how could you rearange a similar equation so that it equalled thetre.
im not very intelligent if u haven't already noticed.
no wait scratch that. how could u rearrange the equation x=(cos thetre)^2 + (sin thetre)^2
even though my original numbers were incorrect.
 
Last edited:
brandy said:
yea i figured that out just before. oops. mybad. but how could you rearange a similar equation so that it equalled thetre.
im not very intelligent if u haven't already noticed.
no wait scratch that. how could u rearrange the equation x=(cos thetre)^2 + (sin thetre)^2
even though my original numbers were incorrect.

in that situation x must be 1, it cannot have any other value if that is to be a true statement.
 
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