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Please help me out please!! :)

Please help me out please!! :)-example-1

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Starting from the Pythagorean identity, we deduce


\sin^2(x)+\cos^2(x) = 1 \iff \cos^2(x) = 1-\sin^2(x) \iff \cos(x) = \pm√(1-\sin^2(x))

If we plug in the value 7/10 for sin(x), we have


\cos(x) = \pm\sqrt{1-(49)/(100)} = \pm\sqrt{(51)/(100)}=\pm(√(51))/(10)

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