Find the exact value of sin(arctan(2)).?

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Find the exact value of sin(arctan(2)).?

2007-11-14 09:16:01 · 2 answers · asked by Angel 1 in Science & Mathematics ➔ Mathematics

2 answers

Draw a right-angled triangle with sides of length 1, 2 and hypotenuse sqrt(5). If we call the angle between the side of length 1 and the hypotenuse x then it's clear that tan(x) = 2/1=2, so x =arctan(2). Then
sin(x) = 2/sqrt(5).

2007-11-14 09:27:20 · answer #1 · answered by Anonymous · 0⤊ 0⤋

2/sqrt(5) or .4sqrt(5)

2007-11-14 09:25:11 · answer #2 · answered by ironduke8159 7 · 0⤊ 0⤋