Use newton's method to approximate a root of the equation \cos(x^2 + 3) = x^3 as follows. let x_1 = 1 be the initial approximation. the second approximation x_2 is?

X_2 = x_1 -  f(x_1) / f ' (x_1) => x_2 = 1 + (cos4 -1 )/ ( 2sin4 + 3) ≈ 1 - 7.64 ≈ - 6.64;

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since the cosine is the ratio of the adjacent side to the hypotenuse, you can see that cos 60° = ½. answer. according to the property of cofunctions (topic 3), sin 30° is equal to cos 60°. sin 30° = ½.