Question

If the sin 60° is square root 3 over 2, then the cos ____° = _____.


30° ; 1 over 2

60° ; square root 2 over 2

30° ; square root 3 over 2

60° ; 1

Answer 1

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tan(x) = sin(x)/cos(x)

Therefore:

tan(60) = sin(60)/cos(60) = (√3/2)/(1/2) = √3

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sec(x) = 1/cos(x)

Therefore:

sec(60) = 1/(cos(60) = 1/(1/2) = 2

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cot(x) = cos(x)/sin(x)

Therefore:

cot(60) = cos(60)/sin(60) = (1/2)/(√3/2) = 1/√3

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